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Finding the Third Proportional to 88,195 and 133,113

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Solution

The third proportional to 88,195 and 133,113 is: 200,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,195 : 133,113 = 133,113 : x
  2. Step 2: Convert to fraction form
    88,195/133,113 = 133,113/x
  3. Step 3: Cross multiply
    88,195x = 133,113 × 133,113
  4. Step 4: Simplify right side
    88,195x = 17,719,070,769
  5. Step 5: Solve for x
    x = 17,719,070,769/88,195
  6. Step 6: Final answer
    x = 200,907.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.