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Finding the Third Proportional to 59,226.19 and 80,407.69

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Solution

The third proportional to 59,226.19 and 80,407.69 is: 109,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,226.19 : 80,407.69 = 80,407.69 : x
  2. Step 2: Convert to fraction form
    59,226.19/80,407.69 = 80,407.69/x
  3. Step 3: Cross multiply
    59,226.19x = 80,407.69 × 80,407.69
  4. Step 4: Simplify right side
    59,226.19x = 6,465,396,209.10
  5. Step 5: Solve for x
    x = 6,465,396,209.10/59,226.19
  6. Step 6: Final answer
    x = 109,164.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.