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Finding the Third Proportional to 71,292 and 151,758

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Solution

The third proportional to 71,292 and 151,758 is: 323,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,292 : 151,758 = 151,758 : x
  2. Step 2: Convert to fraction form
    71,292/151,758 = 151,758/x
  3. Step 3: Cross multiply
    71,292x = 151,758 × 151,758
  4. Step 4: Simplify right side
    71,292x = 23,030,490,564
  5. Step 5: Solve for x
    x = 23,030,490,564/71,292
  6. Step 6: Final answer
    x = 323,044.53

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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.