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Finding the Third Proportional to 70,342 and 151,782

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Solution

The third proportional to 70,342 and 151,782 is: 327,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,342 : 151,782 = 151,782 : x
  2. Step 2: Convert to fraction form
    70,342/151,782 = 151,782/x
  3. Step 3: Cross multiply
    70,342x = 151,782 × 151,782
  4. Step 4: Simplify right side
    70,342x = 23,037,775,524
  5. Step 5: Solve for x
    x = 23,037,775,524/70,342
  6. Step 6: Final answer
    x = 327,510.95

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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.