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Finding the Third Proportional to 23,126 and 54,046

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Solution

The third proportional to 23,126 and 54,046 is: 126,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,126 : 54,046 = 54,046 : x
  2. Step 2: Convert to fraction form
    23,126/54,046 = 54,046/x
  3. Step 3: Cross multiply
    23,126x = 54,046 × 54,046
  4. Step 4: Simplify right side
    23,126x = 2,920,970,116
  5. Step 5: Solve for x
    x = 2,920,970,116/23,126
  6. Step 6: Final answer
    x = 126,306.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.