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Finding the Third Proportional to 59,158.13 and 128,296.69

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Solution

The third proportional to 59,158.13 and 128,296.69 is: 278,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,158.13 : 128,296.69 = 128,296.69 : x
  2. Step 2: Convert to fraction form
    59,158.13/128,296.69 = 128,296.69/x
  3. Step 3: Cross multiply
    59,158.13x = 128,296.69 × 128,296.69
  4. Step 4: Simplify right side
    59,158.13x = 16,460,040,023.47
  5. Step 5: Solve for x
    x = 16,460,040,023.47/59,158.13
  6. Step 6: Final answer
    x = 278,238.03

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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.