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Finding the Third Proportional to 41,127.75 and 88,497.56

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Solution

The third proportional to 41,127.75 and 88,497.56 is: 190,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,127.75 : 88,497.56 = 88,497.56 : x
  2. Step 2: Convert to fraction form
    41,127.75/88,497.56 = 88,497.56/x
  3. Step 3: Cross multiply
    41,127.75x = 88,497.56 × 88,497.56
  4. Step 4: Simplify right side
    41,127.75x = 7,831,818,568.44
  5. Step 5: Solve for x
    x = 7,831,818,568.44/41,127.75
  6. Step 6: Final answer
    x = 190,426.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.