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Finding the Third Proportional to 41,246 and 89,080

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Solution

The third proportional to 41,246 and 89,080 is: 192,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,246 : 89,080 = 89,080 : x
  2. Step 2: Convert to fraction form
    41,246/89,080 = 89,080/x
  3. Step 3: Cross multiply
    41,246x = 89,080 × 89,080
  4. Step 4: Simplify right side
    41,246x = 7,935,246,400
  5. Step 5: Solve for x
    x = 7,935,246,400/41,246
  6. Step 6: Final answer
    x = 192,388.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.