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Finding the Third Proportional to 59,151 and 91,764.75

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Solution

The third proportional to 59,151 and 91,764.75 is: 142,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,151 : 91,764.75 = 91,764.75 : x
  2. Step 2: Convert to fraction form
    59,151/91,764.75 = 91,764.75/x
  3. Step 3: Cross multiply
    59,151x = 91,764.75 × 91,764.75
  4. Step 4: Simplify right side
    59,151x = 8,420,769,342.56
  5. Step 5: Solve for x
    x = 8,420,769,342.56/59,151
  6. Step 6: Final answer
    x = 142,360.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.