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Finding the Third Proportional to 58,439 and 124,978

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Solution

The third proportional to 58,439 and 124,978 is: 267,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,439 : 124,978 = 124,978 : x
  2. Step 2: Convert to fraction form
    58,439/124,978 = 124,978/x
  3. Step 3: Cross multiply
    58,439x = 124,978 × 124,978
  4. Step 4: Simplify right side
    58,439x = 15,619,500,484
  5. Step 5: Solve for x
    x = 15,619,500,484/58,439
  6. Step 6: Final answer
    x = 267,278.71

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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.