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Finding the Third Proportional to 71,290 and 153,992

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Solution

The third proportional to 71,290 and 153,992 is: 332,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290 : 153,992 = 153,992 : x
  2. Step 2: Convert to fraction form
    71,290/153,992 = 153,992/x
  3. Step 3: Cross multiply
    71,290x = 153,992 × 153,992
  4. Step 4: Simplify right side
    71,290x = 23,713,536,064
  5. Step 5: Solve for x
    x = 23,713,536,064/71,290
  6. Step 6: Final answer
    x = 332,634.82

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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.