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Finding the Third Proportional to 72,353.53 and 103,209.75

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Solution

The third proportional to 72,353.53 and 103,209.75 is: 147,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,353.53 : 103,209.75 = 103,209.75 : x
  2. Step 2: Convert to fraction form
    72,353.53/103,209.75 = 103,209.75/x
  3. Step 3: Cross multiply
    72,353.53x = 103,209.75 × 103,209.75
  4. Step 4: Simplify right side
    72,353.53x = 10,652,252,495.06
  5. Step 5: Solve for x
    x = 10,652,252,495.06/72,353.53
  6. Step 6: Final answer
    x = 147,225.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.