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Finding the Third Proportional to 62,479 and 137,118

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Solution

The third proportional to 62,479 and 137,118 is: 300,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,479 : 137,118 = 137,118 : x
  2. Step 2: Convert to fraction form
    62,479/137,118 = 137,118/x
  3. Step 3: Cross multiply
    62,479x = 137,118 × 137,118
  4. Step 4: Simplify right side
    62,479x = 18,801,345,924
  5. Step 5: Solve for x
    x = 18,801,345,924/62,479
  6. Step 6: Final answer
    x = 300,922.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.