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Finding the Third Proportional to 62,114.25 and 96,861.38

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Solution

The third proportional to 62,114.25 and 96,861.38 is: 151,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,114.25 : 96,861.38 = 96,861.38 : x
  2. Step 2: Convert to fraction form
    62,114.25/96,861.38 = 96,861.38/x
  3. Step 3: Cross multiply
    62,114.25x = 96,861.38 × 96,861.38
  4. Step 4: Simplify right side
    62,114.25x = 9,382,125,966.89
  5. Step 5: Solve for x
    x = 9,382,125,966.89/62,114.25
  6. Step 6: Final answer
    x = 151,046.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.