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Finding the Third Proportional to 62,409 and 136,482

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Solution

The third proportional to 62,409 and 136,482 is: 298,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,409 : 136,482 = 136,482 : x
  2. Step 2: Convert to fraction form
    62,409/136,482 = 136,482/x
  3. Step 3: Cross multiply
    62,409x = 136,482 × 136,482
  4. Step 4: Simplify right side
    62,409x = 18,627,336,324
  5. Step 5: Solve for x
    x = 18,627,336,324/62,409
  6. Step 6: Final answer
    x = 298,471.96

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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.