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Finding the Third Proportional to 85,113 and 187,110

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Solution

The third proportional to 85,113 and 187,110 is: 411,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,113 : 187,110 = 187,110 : x
  2. Step 2: Convert to fraction form
    85,113/187,110 = 187,110/x
  3. Step 3: Cross multiply
    85,113x = 187,110 × 187,110
  4. Step 4: Simplify right side
    85,113x = 35,010,152,100
  5. Step 5: Solve for x
    x = 35,010,152,100/85,113
  6. Step 6: Final answer
    x = 411,337.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.