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Finding the Third Proportional to 95,512.50 and 205,119

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Solution

The third proportional to 95,512.50 and 205,119 is: 440,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,512.50 : 205,119 = 205,119 : x
  2. Step 2: Convert to fraction form
    95,512.50/205,119 = 205,119/x
  3. Step 3: Cross multiply
    95,512.50x = 205,119 × 205,119
  4. Step 4: Simplify right side
    95,512.50x = 42,073,804,161
  5. Step 5: Solve for x
    x = 42,073,804,161/95,512.50
  6. Step 6: Final answer
    x = 440,505.74

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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.