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Finding the Third Proportional to 62,785.13 and 136,981.13

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Solution

The third proportional to 62,785.13 and 136,981.13 is: 298,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,785.13 : 136,981.13 = 136,981.13 : x
  2. Step 2: Convert to fraction form
    62,785.13/136,981.13 = 136,981.13/x
  3. Step 3: Cross multiply
    62,785.13x = 136,981.13 × 136,981.13
  4. Step 4: Simplify right side
    62,785.13x = 18,763,828,606.27
  5. Step 5: Solve for x
    x = 18,763,828,606.27/62,785.13
  6. Step 6: Final answer
    x = 298,857.87

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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.