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Finding the Third Proportional to 61,927 and 144,448

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Solution

The third proportional to 61,927 and 144,448 is: 336,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,927 : 144,448 = 144,448 : x
  2. Step 2: Convert to fraction form
    61,927/144,448 = 144,448/x
  3. Step 3: Cross multiply
    61,927x = 144,448 × 144,448
  4. Step 4: Simplify right side
    61,927x = 20,865,224,704
  5. Step 5: Solve for x
    x = 20,865,224,704/61,927
  6. Step 6: Final answer
    x = 336,932.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.