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Finding the Third Proportional to 47,862 and 98,110

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Solution

The third proportional to 47,862 and 98,110 is: 201,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,862 : 98,110 = 98,110 : x
  2. Step 2: Convert to fraction form
    47,862/98,110 = 98,110/x
  3. Step 3: Cross multiply
    47,862x = 98,110 × 98,110
  4. Step 4: Simplify right side
    47,862x = 9,625,572,100
  5. Step 5: Solve for x
    x = 9,625,572,100/47,862
  6. Step 6: Final answer
    x = 201,110.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.