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Finding the Third Proportional to 80,797.50 and 171,810

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Solution

The third proportional to 80,797.50 and 171,810 is: 365,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,797.50 : 171,810 = 171,810 : x
  2. Step 2: Convert to fraction form
    80,797.50/171,810 = 171,810/x
  3. Step 3: Cross multiply
    80,797.50x = 171,810 × 171,810
  4. Step 4: Simplify right side
    80,797.50x = 29,518,676,100
  5. Step 5: Solve for x
    x = 29,518,676,100/80,797.50
  6. Step 6: Final answer
    x = 365,341.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.