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Finding the Third Proportional to 45,889.50 and 94,248.75

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Solution

The third proportional to 45,889.50 and 94,248.75 is: 193,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,889.50 : 94,248.75 = 94,248.75 : x
  2. Step 2: Convert to fraction form
    45,889.50/94,248.75 = 94,248.75/x
  3. Step 3: Cross multiply
    45,889.50x = 94,248.75 × 94,248.75
  4. Step 4: Simplify right side
    45,889.50x = 8,882,826,876.56
  5. Step 5: Solve for x
    x = 8,882,826,876.56/45,889.50
  6. Step 6: Final answer
    x = 193,569.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.