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Finding the Third Proportional to 58,223.88 and 124,747.73

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Solution

The third proportional to 58,223.88 and 124,747.73 is: 267,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,223.88 : 124,747.73 = 124,747.73 : x
  2. Step 2: Convert to fraction form
    58,223.88/124,747.73 = 124,747.73/x
  3. Step 3: Cross multiply
    58,223.88x = 124,747.73 × 124,747.73
  4. Step 4: Simplify right side
    58,223.88x = 15,561,997,231.70
  5. Step 5: Solve for x
    x = 15,561,997,231.70/58,223.88
  6. Step 6: Final answer
    x = 267,278.59

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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.