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Finding the Third Proportional to 63,544 and 137,549

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Solution

The third proportional to 63,544 and 137,549 is: 297,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,544 : 137,549 = 137,549 : x
  2. Step 2: Convert to fraction form
    63,544/137,549 = 137,549/x
  3. Step 3: Cross multiply
    63,544x = 137,549 × 137,549
  4. Step 4: Simplify right side
    63,544x = 18,919,727,401
  5. Step 5: Solve for x
    x = 18,919,727,401/63,544
  6. Step 6: Final answer
    x = 297,742.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.