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Finding the Third Proportional to 118,876 and 176,348

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Solution

The third proportional to 118,876 and 176,348 is: 261,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,876 : 176,348 = 176,348 : x
  2. Step 2: Convert to fraction form
    118,876/176,348 = 176,348/x
  3. Step 3: Cross multiply
    118,876x = 176,348 × 176,348
  4. Step 4: Simplify right side
    118,876x = 31,098,617,104
  5. Step 5: Solve for x
    x = 31,098,617,104/118,876
  6. Step 6: Final answer
    x = 261,605.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.