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Finding the Third Proportional to 71,454 and 107,910

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Solution

The third proportional to 71,454 and 107,910 is: 162,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,454 : 107,910 = 107,910 : x
  2. Step 2: Convert to fraction form
    71,454/107,910 = 107,910/x
  3. Step 3: Cross multiply
    71,454x = 107,910 × 107,910
  4. Step 4: Simplify right side
    71,454x = 11,644,568,100
  5. Step 5: Solve for x
    x = 11,644,568,100/71,454
  6. Step 6: Final answer
    x = 162,965.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.