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Finding the Third Proportional to 118,131 and 252,654

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Solution

The third proportional to 118,131 and 252,654 is: 540,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,131 : 252,654 = 252,654 : x
  2. Step 2: Convert to fraction form
    118,131/252,654 = 252,654/x
  3. Step 3: Cross multiply
    118,131x = 252,654 × 252,654
  4. Step 4: Simplify right side
    118,131x = 63,834,043,716
  5. Step 5: Solve for x
    x = 63,834,043,716/118,131
  6. Step 6: Final answer
    x = 540,366.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.