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Finding the Third Proportional to 58,266 and 126,911

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Solution

The third proportional to 58,266 and 126,911 is: 276,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,266 : 126,911 = 126,911 : x
  2. Step 2: Convert to fraction form
    58,266/126,911 = 126,911/x
  3. Step 3: Cross multiply
    58,266x = 126,911 × 126,911
  4. Step 4: Simplify right side
    58,266x = 16,106,401,921
  5. Step 5: Solve for x
    x = 16,106,401,921/58,266
  6. Step 6: Final answer
    x = 276,428.83

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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.