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Finding the Third Proportional to 49,781.25 and 107,487

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Solution

The third proportional to 49,781.25 and 107,487 is: 232,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,781.25 : 107,487 = 107,487 : x
  2. Step 2: Convert to fraction form
    49,781.25/107,487 = 107,487/x
  3. Step 3: Cross multiply
    49,781.25x = 107,487 × 107,487
  4. Step 4: Simplify right side
    49,781.25x = 11,553,455,169
  5. Step 5: Solve for x
    x = 11,553,455,169/49,781.25
  6. Step 6: Final answer
    x = 232,084.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.