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Finding the Third Proportional to 111,071 and 243,757

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Solution

The third proportional to 111,071 and 243,757 is: 534,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,071 : 243,757 = 243,757 : x
  2. Step 2: Convert to fraction form
    111,071/243,757 = 243,757/x
  3. Step 3: Cross multiply
    111,071x = 243,757 × 243,757
  4. Step 4: Simplify right side
    111,071x = 59,417,475,049
  5. Step 5: Solve for x
    x = 59,417,475,049/111,071
  6. Step 6: Final answer
    x = 534,950.39

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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.