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Finding the Third Proportional to 63,474 and 137,871

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Solution

The third proportional to 63,474 and 137,871 is: 299,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,474 : 137,871 = 137,871 : x
  2. Step 2: Convert to fraction form
    63,474/137,871 = 137,871/x
  3. Step 3: Cross multiply
    63,474x = 137,871 × 137,871
  4. Step 4: Simplify right side
    63,474x = 19,008,412,641
  5. Step 5: Solve for x
    x = 19,008,412,641/63,474
  6. Step 6: Final answer
    x = 299,467.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.