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Finding the Third Proportional to 49,776 and 107,469

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Solution

The third proportional to 49,776 and 107,469 is: 232,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,776 : 107,469 = 107,469 : x
  2. Step 2: Convert to fraction form
    49,776/107,469 = 107,469/x
  3. Step 3: Cross multiply
    49,776x = 107,469 × 107,469
  4. Step 4: Simplify right side
    49,776x = 11,549,585,961
  5. Step 5: Solve for x
    x = 11,549,585,961/49,776
  6. Step 6: Final answer
    x = 232,031.22

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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.