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Finding the Third Proportional to 62,332.50 and 136,350

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Solution

The third proportional to 62,332.50 and 136,350 is: 298,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,332.50 : 136,350 = 136,350 : x
  2. Step 2: Convert to fraction form
    62,332.50/136,350 = 136,350/x
  3. Step 3: Cross multiply
    62,332.50x = 136,350 × 136,350
  4. Step 4: Simplify right side
    62,332.50x = 18,591,322,500
  5. Step 5: Solve for x
    x = 18,591,322,500/62,332.50
  6. Step 6: Final answer
    x = 298,260.50

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