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Finding the Third Proportional to 62,656 and 137,774

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Solution

The third proportional to 62,656 and 137,774 is: 302,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,656 : 137,774 = 137,774 : x
  2. Step 2: Convert to fraction form
    62,656/137,774 = 137,774/x
  3. Step 3: Cross multiply
    62,656x = 137,774 × 137,774
  4. Step 4: Simplify right side
    62,656x = 18,981,675,076
  5. Step 5: Solve for x
    x = 18,981,675,076/62,656
  6. Step 6: Final answer
    x = 302,950.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.