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Finding the Third Proportional to 60,482 and 126,472

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Solution

The third proportional to 60,482 and 126,472 is: 264,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,482 : 126,472 = 126,472 : x
  2. Step 2: Convert to fraction form
    60,482/126,472 = 126,472/x
  3. Step 3: Cross multiply
    60,482x = 126,472 × 126,472
  4. Step 4: Simplify right side
    60,482x = 15,995,166,784
  5. Step 5: Solve for x
    x = 15,995,166,784/60,482
  6. Step 6: Final answer
    x = 264,461.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.