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Finding the Third Proportional to 63,880 and 134,382

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Solution

The third proportional to 63,880 and 134,382 is: 282,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,880 : 134,382 = 134,382 : x
  2. Step 2: Convert to fraction form
    63,880/134,382 = 134,382/x
  3. Step 3: Cross multiply
    63,880x = 134,382 × 134,382
  4. Step 4: Simplify right side
    63,880x = 18,058,521,924
  5. Step 5: Solve for x
    x = 18,058,521,924/63,880
  6. Step 6: Final answer
    x = 282,694.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.