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Finding the Third Proportional to 50,478.75 and 75,718.13

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Solution

The third proportional to 50,478.75 and 75,718.13 is: 113,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478.75 : 75,718.13 = 75,718.13 : x
  2. Step 2: Convert to fraction form
    50,478.75/75,718.13 = 75,718.13/x
  3. Step 3: Cross multiply
    50,478.75x = 75,718.13 × 75,718.13
  4. Step 4: Simplify right side
    50,478.75x = 5,733,234,453.52
  5. Step 5: Solve for x
    x = 5,733,234,453.52/50,478.75
  6. Step 6: Final answer
    x = 113,577.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.