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Finding the Third Proportional to 40,660 and 88,195

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Solution

The third proportional to 40,660 and 88,195 is: 191,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,660 : 88,195 = 88,195 : x
  2. Step 2: Convert to fraction form
    40,660/88,195 = 88,195/x
  3. Step 3: Cross multiply
    40,660x = 88,195 × 88,195
  4. Step 4: Simplify right side
    40,660x = 7,778,358,025
  5. Step 5: Solve for x
    x = 7,778,358,025/40,660
  6. Step 6: Final answer
    x = 191,302.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.