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Finding the Third Proportional to 60,448 and 131,650

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Solution

The third proportional to 60,448 and 131,650 is: 286,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,448 : 131,650 = 131,650 : x
  2. Step 2: Convert to fraction form
    60,448/131,650 = 131,650/x
  3. Step 3: Cross multiply
    60,448x = 131,650 × 131,650
  4. Step 4: Simplify right side
    60,448x = 17,331,722,500
  5. Step 5: Solve for x
    x = 17,331,722,500/60,448
  6. Step 6: Final answer
    x = 286,721.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.