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Finding the Third Proportional to 62,659 and 136,750

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Solution

The third proportional to 62,659 and 136,750 is: 298,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,659 : 136,750 = 136,750 : x
  2. Step 2: Convert to fraction form
    62,659/136,750 = 136,750/x
  3. Step 3: Cross multiply
    62,659x = 136,750 × 136,750
  4. Step 4: Simplify right side
    62,659x = 18,700,562,500
  5. Step 5: Solve for x
    x = 18,700,562,500/62,659
  6. Step 6: Final answer
    x = 298,449.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.