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Finding the Third Proportional to 62,643 and 136,950

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Solution

The third proportional to 62,643 and 136,950 is: 299,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,643 : 136,950 = 136,950 : x
  2. Step 2: Convert to fraction form
    62,643/136,950 = 136,950/x
  3. Step 3: Cross multiply
    62,643x = 136,950 × 136,950
  4. Step 4: Simplify right side
    62,643x = 18,755,302,500
  5. Step 5: Solve for x
    x = 18,755,302,500/62,643
  6. Step 6: Final answer
    x = 299,399.81

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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.