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Finding the Third Proportional to 61,523.25 and 127,957.13

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Solution

The third proportional to 61,523.25 and 127,957.13 is: 266,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,523.25 : 127,957.13 = 127,957.13 : x
  2. Step 2: Convert to fraction form
    61,523.25/127,957.13 = 127,957.13/x
  3. Step 3: Cross multiply
    61,523.25x = 127,957.13 × 127,957.13
  4. Step 4: Simplify right side
    61,523.25x = 16,373,025,838.27
  5. Step 5: Solve for x
    x = 16,373,025,838.27/61,523.25
  6. Step 6: Final answer
    x = 266,127.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.