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Finding the Third Proportional to 63,602 and 137,044

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Solution

The third proportional to 63,602 and 137,044 is: 295,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,602 : 137,044 = 137,044 : x
  2. Step 2: Convert to fraction form
    63,602/137,044 = 137,044/x
  3. Step 3: Cross multiply
    63,602x = 137,044 × 137,044
  4. Step 4: Simplify right side
    63,602x = 18,781,057,936
  5. Step 5: Solve for x
    x = 18,781,057,936/63,602
  6. Step 6: Final answer
    x = 295,290.37

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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.