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Finding the Third Proportional to 59,400 and 128,084

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Solution

The third proportional to 59,400 and 128,084 is: 276,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,400 : 128,084 = 128,084 : x
  2. Step 2: Convert to fraction form
    59,400/128,084 = 128,084/x
  3. Step 3: Cross multiply
    59,400x = 128,084 × 128,084
  4. Step 4: Simplify right side
    59,400x = 16,405,511,056
  5. Step 5: Solve for x
    x = 16,405,511,056/59,400
  6. Step 6: Final answer
    x = 276,187.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.