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Finding the Third Proportional to 54,769 and 83,179

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Solution

The third proportional to 54,769 and 83,179 is: 126,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769 : 83,179 = 83,179 : x
  2. Step 2: Convert to fraction form
    54,769/83,179 = 83,179/x
  3. Step 3: Cross multiply
    54,769x = 83,179 × 83,179
  4. Step 4: Simplify right side
    54,769x = 6,918,746,041
  5. Step 5: Solve for x
    x = 6,918,746,041/54,769
  6. Step 6: Final answer
    x = 126,325.95

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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.