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Finding the Third Proportional to 85,591 and 168,873.50

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Solution

The third proportional to 85,591 and 168,873.50 is: 333,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,591 : 168,873.50 = 168,873.50 : x
  2. Step 2: Convert to fraction form
    85,591/168,873.50 = 168,873.50/x
  3. Step 3: Cross multiply
    85,591x = 168,873.50 × 168,873.50
  4. Step 4: Simplify right side
    85,591x = 28,518,259,002.25
  5. Step 5: Solve for x
    x = 28,518,259,002.25/85,591
  6. Step 6: Final answer
    x = 333,192.26

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.