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Finding the Third Proportional to 51,412.50 and 77,766.75

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Solution

The third proportional to 51,412.50 and 77,766.75 is: 117,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412.50 : 77,766.75 = 77,766.75 : x
  2. Step 2: Convert to fraction form
    51,412.50/77,766.75 = 77,766.75/x
  3. Step 3: Cross multiply
    51,412.50x = 77,766.75 × 77,766.75
  4. Step 4: Simplify right side
    51,412.50x = 6,047,667,405.56
  5. Step 5: Solve for x
    x = 6,047,667,405.56/51,412.50
  6. Step 6: Final answer
    x = 117,630.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.