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Finding the Third Proportional to 55,432 and 117,481

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Solution

The third proportional to 55,432 and 117,481 is: 248,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,432 : 117,481 = 117,481 : x
  2. Step 2: Convert to fraction form
    55,432/117,481 = 117,481/x
  3. Step 3: Cross multiply
    55,432x = 117,481 × 117,481
  4. Step 4: Simplify right side
    55,432x = 13,801,785,361
  5. Step 5: Solve for x
    x = 13,801,785,361/55,432
  6. Step 6: Final answer
    x = 248,985.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.