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Finding the Third Proportional to 49,360.50 and 78,414.75

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Solution

The third proportional to 49,360.50 and 78,414.75 is: 124,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,360.50 : 78,414.75 = 78,414.75 : x
  2. Step 2: Convert to fraction form
    49,360.50/78,414.75 = 78,414.75/x
  3. Step 3: Cross multiply
    49,360.50x = 78,414.75 × 78,414.75
  4. Step 4: Simplify right side
    49,360.50x = 6,148,873,017.56
  5. Step 5: Solve for x
    x = 6,148,873,017.56/49,360.50
  6. Step 6: Final answer
    x = 124,570.72

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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.