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Finding the Third Proportional to 70,722 and 156,164

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Solution

The third proportional to 70,722 and 156,164 is: 344,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,722 : 156,164 = 156,164 : x
  2. Step 2: Convert to fraction form
    70,722/156,164 = 156,164/x
  3. Step 3: Cross multiply
    70,722x = 156,164 × 156,164
  4. Step 4: Simplify right side
    70,722x = 24,387,194,896
  5. Step 5: Solve for x
    x = 24,387,194,896/70,722
  6. Step 6: Final answer
    x = 344,831.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.