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Finding the Third Proportional to 63,913 and 137,637

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Solution

The third proportional to 63,913 and 137,637 is: 296,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,913 : 137,637 = 137,637 : x
  2. Step 2: Convert to fraction form
    63,913/137,637 = 137,637/x
  3. Step 3: Cross multiply
    63,913x = 137,637 × 137,637
  4. Step 4: Simplify right side
    63,913x = 18,943,943,769
  5. Step 5: Solve for x
    x = 18,943,943,769/63,913
  6. Step 6: Final answer
    x = 296,402.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.