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Finding the Third Proportional to 75,166 and 98,861

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Solution

The third proportional to 75,166 and 98,861 is: 130,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,166 : 98,861 = 98,861 : x
  2. Step 2: Convert to fraction form
    75,166/98,861 = 98,861/x
  3. Step 3: Cross multiply
    75,166x = 98,861 × 98,861
  4. Step 4: Simplify right side
    75,166x = 9,773,497,321
  5. Step 5: Solve for x
    x = 9,773,497,321/75,166
  6. Step 6: Final answer
    x = 130,025.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.