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Finding the Third Proportional to 41,095 and 88,615

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Solution

The third proportional to 41,095 and 88,615 is: 191,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,095 : 88,615 = 88,615 : x
  2. Step 2: Convert to fraction form
    41,095/88,615 = 88,615/x
  3. Step 3: Cross multiply
    41,095x = 88,615 × 88,615
  4. Step 4: Simplify right side
    41,095x = 7,852,618,225
  5. Step 5: Solve for x
    x = 7,852,618,225/41,095
  6. Step 6: Final answer
    x = 191,084.52

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