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Finding the Third Proportional to 58,481 and 126,898

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Solution

The third proportional to 58,481 and 126,898 is: 275,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,481 : 126,898 = 126,898 : x
  2. Step 2: Convert to fraction form
    58,481/126,898 = 126,898/x
  3. Step 3: Cross multiply
    58,481x = 126,898 × 126,898
  4. Step 4: Simplify right side
    58,481x = 16,103,102,404
  5. Step 5: Solve for x
    x = 16,103,102,404/58,481
  6. Step 6: Final answer
    x = 275,356.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.