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Finding the Third Proportional to 111,063 and 243,741

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Solution

The third proportional to 111,063 and 243,741 is: 534,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,063 : 243,741 = 243,741 : x
  2. Step 2: Convert to fraction form
    111,063/243,741 = 243,741/x
  3. Step 3: Cross multiply
    111,063x = 243,741 × 243,741
  4. Step 4: Simplify right side
    111,063x = 59,409,675,081
  5. Step 5: Solve for x
    x = 59,409,675,081/111,063
  6. Step 6: Final answer
    x = 534,918.70

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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.