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Finding the Third Proportional to 57,881.25 and 77,179.50

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Solution

The third proportional to 57,881.25 and 77,179.50 is: 102,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,881.25 : 77,179.50 = 77,179.50 : x
  2. Step 2: Convert to fraction form
    57,881.25/77,179.50 = 77,179.50/x
  3. Step 3: Cross multiply
    57,881.25x = 77,179.50 × 77,179.50
  4. Step 4: Simplify right side
    57,881.25x = 5,956,675,220.25
  5. Step 5: Solve for x
    x = 5,956,675,220.25/57,881.25
  6. Step 6: Final answer
    x = 102,912.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.