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Finding the Third Proportional to 70,605 and 151,443

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Solution

The third proportional to 70,605 and 151,443 is: 324,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605 : 151,443 = 151,443 : x
  2. Step 2: Convert to fraction form
    70,605/151,443 = 151,443/x
  3. Step 3: Cross multiply
    70,605x = 151,443 × 151,443
  4. Step 4: Simplify right side
    70,605x = 22,934,982,249
  5. Step 5: Solve for x
    x = 22,934,982,249/70,605
  6. Step 6: Final answer
    x = 324,835.10

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Why These Related Problems?

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