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Finding the Third Proportional to 71,649 and 151,831.88

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Solution

The third proportional to 71,649 and 151,831.88 is: 321,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649 : 151,831.88 = 151,831.88 : x
  2. Step 2: Convert to fraction form
    71,649/151,831.88 = 151,831.88/x
  3. Step 3: Cross multiply
    71,649x = 151,831.88 × 151,831.88
  4. Step 4: Simplify right side
    71,649x = 23,052,918,266.02
  5. Step 5: Solve for x
    x = 23,052,918,266.02/71,649
  6. Step 6: Final answer
    x = 321,747.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.