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Finding the Third Proportional to 118,854 and 252,972

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Solution

The third proportional to 118,854 and 252,972 is: 538,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,854 : 252,972 = 252,972 : x
  2. Step 2: Convert to fraction form
    118,854/252,972 = 252,972/x
  3. Step 3: Cross multiply
    118,854x = 252,972 × 252,972
  4. Step 4: Simplify right side
    118,854x = 63,994,832,784
  5. Step 5: Solve for x
    x = 63,994,832,784/118,854
  6. Step 6: Final answer
    x = 538,432.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.