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Finding the Third Proportional to 72,823 and 158,101

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Solution

The third proportional to 72,823 and 158,101 is: 343,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,823 : 158,101 = 158,101 : x
  2. Step 2: Convert to fraction form
    72,823/158,101 = 158,101/x
  3. Step 3: Cross multiply
    72,823x = 158,101 × 158,101
  4. Step 4: Simplify right side
    72,823x = 24,995,926,201
  5. Step 5: Solve for x
    x = 24,995,926,201/72,823
  6. Step 6: Final answer
    x = 343,242.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.