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Finding the Third Proportional to 58,158 and 87,723

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Solution

The third proportional to 58,158 and 87,723 is: 132,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,158 : 87,723 = 87,723 : x
  2. Step 2: Convert to fraction form
    58,158/87,723 = 87,723/x
  3. Step 3: Cross multiply
    58,158x = 87,723 × 87,723
  4. Step 4: Simplify right side
    58,158x = 7,695,324,729
  5. Step 5: Solve for x
    x = 7,695,324,729/58,158
  6. Step 6: Final answer
    x = 132,317.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.