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Finding the Third Proportional to 111,177 and 243,113

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Solution

The third proportional to 111,177 and 243,113 is: 531,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,177 : 243,113 = 243,113 : x
  2. Step 2: Convert to fraction form
    111,177/243,113 = 243,113/x
  3. Step 3: Cross multiply
    111,177x = 243,113 × 243,113
  4. Step 4: Simplify right side
    111,177x = 59,103,930,769
  5. Step 5: Solve for x
    x = 59,103,930,769/111,177
  6. Step 6: Final answer
    x = 531,620.13

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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.