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Finding the Third Proportional to 111,174.75 and 243,109.13

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Solution

The third proportional to 111,174.75 and 243,109.13 is: 531,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,174.75 : 243,109.13 = 243,109.13 : x
  2. Step 2: Convert to fraction form
    111,174.75/243,109.13 = 243,109.13/x
  3. Step 3: Cross multiply
    111,174.75x = 243,109.13 × 243,109.13
  4. Step 4: Simplify right side
    111,174.75x = 59,102,046,658.27
  5. Step 5: Solve for x
    x = 59,102,046,658.27/111,174.75
  6. Step 6: Final answer
    x = 531,613.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.