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Finding the Third Proportional to 124,183.13 and 196,723.69

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Solution

The third proportional to 124,183.13 and 196,723.69 is: 311,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,183.13 : 196,723.69 = 196,723.69 : x
  2. Step 2: Convert to fraction form
    124,183.13/196,723.69 = 196,723.69/x
  3. Step 3: Cross multiply
    124,183.13x = 196,723.69 × 196,723.69
  4. Step 4: Simplify right side
    124,183.13x = 38,700,209,223.60
  5. Step 5: Solve for x
    x = 38,700,209,223.60/124,183.13
  6. Step 6: Final answer
    x = 311,638.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.