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Finding the Third Proportional to 40,462.88 and 88,170.75

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Solution

The third proportional to 40,462.88 and 88,170.75 is: 192,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,462.88 : 88,170.75 = 88,170.75 : x
  2. Step 2: Convert to fraction form
    40,462.88/88,170.75 = 88,170.75/x
  3. Step 3: Cross multiply
    40,462.88x = 88,170.75 × 88,170.75
  4. Step 4: Simplify right side
    40,462.88x = 7,774,081,155.56
  5. Step 5: Solve for x
    x = 7,774,081,155.56/40,462.88
  6. Step 6: Final answer
    x = 192,128.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.