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Finding the Third Proportional to 63,880 and 134,372

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Solution

The third proportional to 63,880 and 134,372 is: 282,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,880 : 134,372 = 134,372 : x
  2. Step 2: Convert to fraction form
    63,880/134,372 = 134,372/x
  3. Step 3: Cross multiply
    63,880x = 134,372 × 134,372
  4. Step 4: Simplify right side
    63,880x = 18,055,834,384
  5. Step 5: Solve for x
    x = 18,055,834,384/63,880
  6. Step 6: Final answer
    x = 282,652.39

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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.