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Finding the Third Proportional to 60,880 and 133,424

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Solution

The third proportional to 60,880 and 133,424 is: 292,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,880 : 133,424 = 133,424 : x
  2. Step 2: Convert to fraction form
    60,880/133,424 = 133,424/x
  3. Step 3: Cross multiply
    60,880x = 133,424 × 133,424
  4. Step 4: Simplify right side
    60,880x = 17,801,963,776
  5. Step 5: Solve for x
    x = 17,801,963,776/60,880
  6. Step 6: Final answer
    x = 292,410.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.