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Finding the Third Proportional to 55,571 and 84,719

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Solution

The third proportional to 55,571 and 84,719 is: 129,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,571 : 84,719 = 84,719 : x
  2. Step 2: Convert to fraction form
    55,571/84,719 = 84,719/x
  3. Step 3: Cross multiply
    55,571x = 84,719 × 84,719
  4. Step 4: Simplify right side
    55,571x = 7,177,308,961
  5. Step 5: Solve for x
    x = 7,177,308,961/55,571
  6. Step 6: Final answer
    x = 129,155.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.