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Finding the Third Proportional to 61,150 and 124,892

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Solution

The third proportional to 61,150 and 124,892 is: 255,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,150 : 124,892 = 124,892 : x
  2. Step 2: Convert to fraction form
    61,150/124,892 = 124,892/x
  3. Step 3: Cross multiply
    61,150x = 124,892 × 124,892
  4. Step 4: Simplify right side
    61,150x = 15,598,011,664
  5. Step 5: Solve for x
    x = 15,598,011,664/61,150
  6. Step 6: Final answer
    x = 255,077.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.