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Finding the Third Proportional to 70,324 and 151,642

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Solution

The third proportional to 70,324 and 151,642 is: 326,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,324 : 151,642 = 151,642 : x
  2. Step 2: Convert to fraction form
    70,324/151,642 = 151,642/x
  3. Step 3: Cross multiply
    70,324x = 151,642 × 151,642
  4. Step 4: Simplify right side
    70,324x = 22,995,296,164
  5. Step 5: Solve for x
    x = 22,995,296,164/70,324
  6. Step 6: Final answer
    x = 326,990.73

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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.