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Finding the Third Proportional to 63,882 and 134,385

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Solution

The third proportional to 63,882 and 134,385 is: 282,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,882 : 134,385 = 134,385 : x
  2. Step 2: Convert to fraction form
    63,882/134,385 = 134,385/x
  3. Step 3: Cross multiply
    63,882x = 134,385 × 134,385
  4. Step 4: Simplify right side
    63,882x = 18,059,328,225
  5. Step 5: Solve for x
    x = 18,059,328,225/63,882
  6. Step 6: Final answer
    x = 282,698.23

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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.