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Finding the Third Proportional to 59,104.31 and 128,255.16

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Solution

The third proportional to 59,104.31 and 128,255.16 is: 278,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,104.31 : 128,255.16 = 128,255.16 : x
  2. Step 2: Convert to fraction form
    59,104.31/128,255.16 = 128,255.16/x
  3. Step 3: Cross multiply
    59,104.31x = 128,255.16 × 128,255.16
  4. Step 4: Simplify right side
    59,104.31x = 16,449,385,104.71
  5. Step 5: Solve for x
    x = 16,449,385,104.71/59,104.31
  6. Step 6: Final answer
    x = 278,311.08

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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.