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Finding the Third Proportional to 106,937 and 232,087

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Solution

The third proportional to 106,937 and 232,087 is: 503,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,937 : 232,087 = 232,087 : x
  2. Step 2: Convert to fraction form
    106,937/232,087 = 232,087/x
  3. Step 3: Cross multiply
    106,937x = 232,087 × 232,087
  4. Step 4: Simplify right side
    106,937x = 53,864,375,569
  5. Step 5: Solve for x
    x = 53,864,375,569/106,937
  6. Step 6: Final answer
    x = 503,701.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.