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Finding the Third Proportional to 41,097 and 88,617

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Solution

The third proportional to 41,097 and 88,617 is: 191,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097 : 88,617 = 88,617 : x
  2. Step 2: Convert to fraction form
    41,097/88,617 = 88,617/x
  3. Step 3: Cross multiply
    41,097x = 88,617 × 88,617
  4. Step 4: Simplify right side
    41,097x = 7,852,972,689
  5. Step 5: Solve for x
    x = 7,852,972,689/41,097
  6. Step 6: Final answer
    x = 191,083.84

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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.