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Finding the Third Proportional to 70,582 and 151,398

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Solution

The third proportional to 70,582 and 151,398 is: 324,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582 : 151,398 = 151,398 : x
  2. Step 2: Convert to fraction form
    70,582/151,398 = 151,398/x
  3. Step 3: Cross multiply
    70,582x = 151,398 × 151,398
  4. Step 4: Simplify right side
    70,582x = 22,921,354,404
  5. Step 5: Solve for x
    x = 22,921,354,404/70,582
  6. Step 6: Final answer
    x = 324,747.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.