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Finding the Third Proportional to 81,510.75 and 168,259.50

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Solution

The third proportional to 81,510.75 and 168,259.50 is: 347,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,510.75 : 168,259.50 = 168,259.50 : x
  2. Step 2: Convert to fraction form
    81,510.75/168,259.50 = 168,259.50/x
  3. Step 3: Cross multiply
    81,510.75x = 168,259.50 × 168,259.50
  4. Step 4: Simplify right side
    81,510.75x = 28,311,259,340.25
  5. Step 5: Solve for x
    x = 28,311,259,340.25/81,510.75
  6. Step 6: Final answer
    x = 347,331.60

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.