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Finding the Third Proportional to 56,911 and 123,911

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Solution

The third proportional to 56,911 and 123,911 is: 269,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,911 : 123,911 = 123,911 : x
  2. Step 2: Convert to fraction form
    56,911/123,911 = 123,911/x
  3. Step 3: Cross multiply
    56,911x = 123,911 × 123,911
  4. Step 4: Simplify right side
    56,911x = 15,353,935,921
  5. Step 5: Solve for x
    x = 15,353,935,921/56,911
  6. Step 6: Final answer
    x = 269,788.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.