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Finding the Third Proportional to 97,260.75 and 142,732.13

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Solution

The third proportional to 97,260.75 and 142,732.13 is: 209,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,260.75 : 142,732.13 = 142,732.13 : x
  2. Step 2: Convert to fraction form
    97,260.75/142,732.13 = 142,732.13/x
  3. Step 3: Cross multiply
    97,260.75x = 142,732.13 × 142,732.13
  4. Step 4: Simplify right side
    97,260.75x = 20,372,459,507.02
  5. Step 5: Solve for x
    x = 20,372,459,507.02/97,260.75
  6. Step 6: Final answer
    x = 209,462.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.