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Finding the Third Proportional to 63,874 and 134,363

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Solution

The third proportional to 63,874 and 134,363 is: 282,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,874 : 134,363 = 134,363 : x
  2. Step 2: Convert to fraction form
    63,874/134,363 = 134,363/x
  3. Step 3: Cross multiply
    63,874x = 134,363 × 134,363
  4. Step 4: Simplify right side
    63,874x = 18,053,415,769
  5. Step 5: Solve for x
    x = 18,053,415,769/63,874
  6. Step 6: Final answer
    x = 282,641.07

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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.