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Finding the Third Proportional to 99,712.27 and 158,559.40

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Solution

The third proportional to 99,712.27 and 158,559.40 is: 252,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,712.27 : 158,559.40 = 158,559.40 : x
  2. Step 2: Convert to fraction form
    99,712.27/158,559.40 = 158,559.40/x
  3. Step 3: Cross multiply
    99,712.27x = 158,559.40 × 158,559.40
  4. Step 4: Simplify right side
    99,712.27x = 25,141,082,832.86
  5. Step 5: Solve for x
    x = 25,141,082,832.86/99,712.27
  6. Step 6: Final answer
    x = 252,136.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.