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Finding the Third Proportional to 70,031 and 153,670

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Solution

The third proportional to 70,031 and 153,670 is: 337,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031 : 153,670 = 153,670 : x
  2. Step 2: Convert to fraction form
    70,031/153,670 = 153,670/x
  3. Step 3: Cross multiply
    70,031x = 153,670 × 153,670
  4. Step 4: Simplify right side
    70,031x = 23,614,468,900
  5. Step 5: Solve for x
    x = 23,614,468,900/70,031
  6. Step 6: Final answer
    x = 337,200.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.