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Finding the Third Proportional to 71,348 and 153,734

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Solution

The third proportional to 71,348 and 153,734 is: 331,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,348 : 153,734 = 153,734 : x
  2. Step 2: Convert to fraction form
    71,348/153,734 = 153,734/x
  3. Step 3: Cross multiply
    71,348x = 153,734 × 153,734
  4. Step 4: Simplify right side
    71,348x = 23,634,142,756
  5. Step 5: Solve for x
    x = 23,634,142,756/71,348
  6. Step 6: Final answer
    x = 331,251.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.