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Finding the Third Proportional to 73,720.13 and 102,185.30

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Solution

The third proportional to 73,720.13 and 102,185.30 is: 141,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,720.13 : 102,185.30 = 102,185.30 : x
  2. Step 2: Convert to fraction form
    73,720.13/102,185.30 = 102,185.30/x
  3. Step 3: Cross multiply
    73,720.13x = 102,185.30 × 102,185.30
  4. Step 4: Simplify right side
    73,720.13x = 10,441,834,897.43
  5. Step 5: Solve for x
    x = 10,441,834,897.43/73,720.13
  6. Step 6: Final answer
    x = 141,641.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.