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Finding the Third Proportional to 59,104.41 and 128,255.91

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Solution

The third proportional to 59,104.41 and 128,255.91 is: 278,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,104.41 : 128,255.91 = 128,255.91 : x
  2. Step 2: Convert to fraction form
    59,104.41/128,255.91 = 128,255.91/x
  3. Step 3: Cross multiply
    59,104.41x = 128,255.91 × 128,255.91
  4. Step 4: Simplify right side
    59,104.41x = 16,449,577,488.01
  5. Step 5: Solve for x
    x = 16,449,577,488.01/59,104.41
  6. Step 6: Final answer
    x = 278,313.89

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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.