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Finding the Third Proportional to 81,377 and 121,986

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Solution

The third proportional to 81,377 and 121,986 is: 182,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,377 : 121,986 = 121,986 : x
  2. Step 2: Convert to fraction form
    81,377/121,986 = 121,986/x
  3. Step 3: Cross multiply
    81,377x = 121,986 × 121,986
  4. Step 4: Simplify right side
    81,377x = 14,880,584,196
  5. Step 5: Solve for x
    x = 14,880,584,196/81,377
  6. Step 6: Final answer
    x = 182,859.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.