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Finding the Third Proportional to 83,181 and 127,854

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Solution

The third proportional to 83,181 and 127,854 is: 196,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,181 : 127,854 = 127,854 : x
  2. Step 2: Convert to fraction form
    83,181/127,854 = 127,854/x
  3. Step 3: Cross multiply
    83,181x = 127,854 × 127,854
  4. Step 4: Simplify right side
    83,181x = 16,346,645,316
  5. Step 5: Solve for x
    x = 16,346,645,316/83,181
  6. Step 6: Final answer
    x = 196,518.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.