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Finding the Third Proportional to 116,538 and 252,138

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Solution

The third proportional to 116,538 and 252,138 is: 545,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,538 : 252,138 = 252,138 : x
  2. Step 2: Convert to fraction form
    116,538/252,138 = 252,138/x
  3. Step 3: Cross multiply
    116,538x = 252,138 × 252,138
  4. Step 4: Simplify right side
    116,538x = 63,573,571,044
  5. Step 5: Solve for x
    x = 63,573,571,044/116,538
  6. Step 6: Final answer
    x = 545,517.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.