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Finding the Third Proportional to 56,862 and 87,723

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Solution

The third proportional to 56,862 and 87,723 is: 135,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,862 : 87,723 = 87,723 : x
  2. Step 2: Convert to fraction form
    56,862/87,723 = 87,723/x
  3. Step 3: Cross multiply
    56,862x = 87,723 × 87,723
  4. Step 4: Simplify right side
    56,862x = 7,695,324,729
  5. Step 5: Solve for x
    x = 7,695,324,729/56,862
  6. Step 6: Final answer
    x = 135,333.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.