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Finding the Third Proportional to 78,451.50 and 169,782

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Solution

The third proportional to 78,451.50 and 169,782 is: 367,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,451.50 : 169,782 = 169,782 : x
  2. Step 2: Convert to fraction form
    78,451.50/169,782 = 169,782/x
  3. Step 3: Cross multiply
    78,451.50x = 169,782 × 169,782
  4. Step 4: Simplify right side
    78,451.50x = 28,825,927,524
  5. Step 5: Solve for x
    x = 28,825,927,524/78,451.50
  6. Step 6: Final answer
    x = 367,436.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.