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Finding the Third Proportional to 59,115.75 and 128,278.50

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Solution

The third proportional to 59,115.75 and 128,278.50 is: 278,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,115.75 : 128,278.50 = 128,278.50 : x
  2. Step 2: Convert to fraction form
    59,115.75/128,278.50 = 128,278.50/x
  3. Step 3: Cross multiply
    59,115.75x = 128,278.50 × 128,278.50
  4. Step 4: Simplify right side
    59,115.75x = 16,455,373,562.25
  5. Step 5: Solve for x
    x = 16,455,373,562.25/59,115.75
  6. Step 6: Final answer
    x = 278,358.53

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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.