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Finding the Third Proportional to 49,443.75 and 78,612.19

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Solution

The third proportional to 49,443.75 and 78,612.19 is: 124,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,443.75 : 78,612.19 = 78,612.19 : x
  2. Step 2: Convert to fraction form
    49,443.75/78,612.19 = 78,612.19/x
  3. Step 3: Cross multiply
    49,443.75x = 78,612.19 × 78,612.19
  4. Step 4: Simplify right side
    49,443.75x = 6,179,876,023.54
  5. Step 5: Solve for x
    x = 6,179,876,023.54/49,443.75
  6. Step 6: Final answer
    x = 124,988.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.