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Finding the Third Proportional to 60,831 and 91,003.50

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Solution

The third proportional to 60,831 and 91,003.50 is: 136,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,831 : 91,003.50 = 91,003.50 : x
  2. Step 2: Convert to fraction form
    60,831/91,003.50 = 91,003.50/x
  3. Step 3: Cross multiply
    60,831x = 91,003.50 × 91,003.50
  4. Step 4: Simplify right side
    60,831x = 8,281,637,012.25
  5. Step 5: Solve for x
    x = 8,281,637,012.25/60,831
  6. Step 6: Final answer
    x = 136,141.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.