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Finding the Third Proportional to 72,225.19 and 173,996.81

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Solution

The third proportional to 72,225.19 and 173,996.81 is: 419,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,225.19 : 173,996.81 = 173,996.81 : x
  2. Step 2: Convert to fraction form
    72,225.19/173,996.81 = 173,996.81/x
  3. Step 3: Cross multiply
    72,225.19x = 173,996.81 × 173,996.81
  4. Step 4: Simplify right side
    72,225.19x = 30,274,890,760.16
  5. Step 5: Solve for x
    x = 30,274,890,760.16/72,225.19
  6. Step 6: Final answer
    x = 419,173.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.