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Finding the Third Proportional to 80,422.50 and 171,887

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Solution

The third proportional to 80,422.50 and 171,887 is: 367,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,422.50 : 171,887 = 171,887 : x
  2. Step 2: Convert to fraction form
    80,422.50/171,887 = 171,887/x
  3. Step 3: Cross multiply
    80,422.50x = 171,887 × 171,887
  4. Step 4: Simplify right side
    80,422.50x = 29,545,140,769
  5. Step 5: Solve for x
    x = 29,545,140,769/80,422.50
  6. Step 6: Final answer
    x = 367,374.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.