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Finding the Third Proportional to 57,332 and 117,218

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Solution

The third proportional to 57,332 and 117,218 is: 239,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,332 : 117,218 = 117,218 : x
  2. Step 2: Convert to fraction form
    57,332/117,218 = 117,218/x
  3. Step 3: Cross multiply
    57,332x = 117,218 × 117,218
  4. Step 4: Simplify right side
    57,332x = 13,740,059,524
  5. Step 5: Solve for x
    x = 13,740,059,524/57,332
  6. Step 6: Final answer
    x = 239,657.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.