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Finding the Third Proportional to 59,023.69 and 126,462.94

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Solution

The third proportional to 59,023.69 and 126,462.94 is: 270,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,023.69 : 126,462.94 = 126,462.94 : x
  2. Step 2: Convert to fraction form
    59,023.69/126,462.94 = 126,462.94/x
  3. Step 3: Cross multiply
    59,023.69x = 126,462.94 × 126,462.94
  4. Step 4: Simplify right side
    59,023.69x = 15,992,874,561.13
  5. Step 5: Solve for x
    x = 15,992,874,561.13/59,023.69
  6. Step 6: Final answer
    x = 270,956.89

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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.