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Finding the Third Proportional to 85,863 and 126,310

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Solution

The third proportional to 85,863 and 126,310 is: 185,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,863 : 126,310 = 126,310 : x
  2. Step 2: Convert to fraction form
    85,863/126,310 = 126,310/x
  3. Step 3: Cross multiply
    85,863x = 126,310 × 126,310
  4. Step 4: Simplify right side
    85,863x = 15,954,216,100
  5. Step 5: Solve for x
    x = 15,954,216,100/85,863
  6. Step 6: Final answer
    x = 185,810.14

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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.