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Finding the Third Proportional to 85,866 and 126,315

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Solution

The third proportional to 85,866 and 126,315 is: 185,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,866 : 126,315 = 126,315 : x
  2. Step 2: Convert to fraction form
    85,866/126,315 = 126,315/x
  3. Step 3: Cross multiply
    85,866x = 126,315 × 126,315
  4. Step 4: Simplify right side
    85,866x = 15,955,479,225
  5. Step 5: Solve for x
    x = 15,955,479,225/85,866
  6. Step 6: Final answer
    x = 185,818.36

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