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Finding the Third Proportional to 63,468 and 137,860

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Solution

The third proportional to 63,468 and 137,860 is: 299,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,468 : 137,860 = 137,860 : x
  2. Step 2: Convert to fraction form
    63,468/137,860 = 137,860/x
  3. Step 3: Cross multiply
    63,468x = 137,860 × 137,860
  4. Step 4: Simplify right side
    63,468x = 19,005,379,600
  5. Step 5: Solve for x
    x = 19,005,379,600/63,468
  6. Step 6: Final answer
    x = 299,448.22

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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.