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Finding the Third Proportional to 63,594 and 133,587

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Solution

The third proportional to 63,594 and 133,587 is: 280,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,594 : 133,587 = 133,587 : x
  2. Step 2: Convert to fraction form
    63,594/133,587 = 133,587/x
  3. Step 3: Cross multiply
    63,594x = 133,587 × 133,587
  4. Step 4: Simplify right side
    63,594x = 17,845,486,569
  5. Step 5: Solve for x
    x = 17,845,486,569/63,594
  6. Step 6: Final answer
    x = 280,615.88

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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.