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Finding the Third Proportional to 78,411 and 169,782

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Solution

The third proportional to 78,411 and 169,782 is: 367,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411 : 169,782 = 169,782 : x
  2. Step 2: Convert to fraction form
    78,411/169,782 = 169,782/x
  3. Step 3: Cross multiply
    78,411x = 169,782 × 169,782
  4. Step 4: Simplify right side
    78,411x = 28,825,927,524
  5. Step 5: Solve for x
    x = 28,825,927,524/78,411
  6. Step 6: Final answer
    x = 367,626.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.