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Finding the Third Proportional to 63,874 and 134,362

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Solution

The third proportional to 63,874 and 134,362 is: 282,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,874 : 134,362 = 134,362 : x
  2. Step 2: Convert to fraction form
    63,874/134,362 = 134,362/x
  3. Step 3: Cross multiply
    63,874x = 134,362 × 134,362
  4. Step 4: Simplify right side
    63,874x = 18,053,147,044
  5. Step 5: Solve for x
    x = 18,053,147,044/63,874
  6. Step 6: Final answer
    x = 282,636.86

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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.