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Finding the Third Proportional to 63,125 and 137,548

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Solution

The third proportional to 63,125 and 137,548 is: 299,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,125 : 137,548 = 137,548 : x
  2. Step 2: Convert to fraction form
    63,125/137,548 = 137,548/x
  3. Step 3: Cross multiply
    63,125x = 137,548 × 137,548
  4. Step 4: Simplify right side
    63,125x = 18,919,452,304
  5. Step 5: Solve for x
    x = 18,919,452,304/63,125
  6. Step 6: Final answer
    x = 299,714.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.