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Finding the Third Proportional to 59,904 and 131,520

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Solution

The third proportional to 59,904 and 131,520 is: 288,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,904 : 131,520 = 131,520 : x
  2. Step 2: Convert to fraction form
    59,904/131,520 = 131,520/x
  3. Step 3: Cross multiply
    59,904x = 131,520 × 131,520
  4. Step 4: Simplify right side
    59,904x = 17,297,510,400
  5. Step 5: Solve for x
    x = 17,297,510,400/59,904
  6. Step 6: Final answer
    x = 288,753.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.