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Finding the Third Proportional to 58,213.69 and 124,729.88

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Solution

The third proportional to 58,213.69 and 124,729.88 is: 267,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,213.69 : 124,729.88 = 124,729.88 : x
  2. Step 2: Convert to fraction form
    58,213.69/124,729.88 = 124,729.88/x
  3. Step 3: Cross multiply
    58,213.69x = 124,729.88 × 124,729.88
  4. Step 4: Simplify right side
    58,213.69x = 15,557,541,717.52
  5. Step 5: Solve for x
    x = 15,557,541,717.52/58,213.69
  6. Step 6: Final answer
    x = 267,248.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.