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Finding the Third Proportional to 85,878 and 126,329

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Solution

The third proportional to 85,878 and 126,329 is: 185,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,878 : 126,329 = 126,329 : x
  2. Step 2: Convert to fraction form
    85,878/126,329 = 126,329/x
  3. Step 3: Cross multiply
    85,878x = 126,329 × 126,329
  4. Step 4: Simplify right side
    85,878x = 15,959,016,241
  5. Step 5: Solve for x
    x = 15,959,016,241/85,878
  6. Step 6: Final answer
    x = 185,833.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.