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Finding the Third Proportional to 56,800 and 87,858

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Solution

The third proportional to 56,800 and 87,858 is: 135,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,800 : 87,858 = 87,858 : x
  2. Step 2: Convert to fraction form
    56,800/87,858 = 87,858/x
  3. Step 3: Cross multiply
    56,800x = 87,858 × 87,858
  4. Step 4: Simplify right side
    56,800x = 7,719,028,164
  5. Step 5: Solve for x
    x = 7,719,028,164/56,800
  6. Step 6: Final answer
    x = 135,898.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.