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Finding the Third Proportional to 63,886 and 134,394

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Solution

The third proportional to 63,886 and 134,394 is: 282,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,886 : 134,394 = 134,394 : x
  2. Step 2: Convert to fraction form
    63,886/134,394 = 134,394/x
  3. Step 3: Cross multiply
    63,886x = 134,394 × 134,394
  4. Step 4: Simplify right side
    63,886x = 18,061,747,236
  5. Step 5: Solve for x
    x = 18,061,747,236/63,886
  6. Step 6: Final answer
    x = 282,718.39

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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.