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Finding the Third Proportional to 45,831 and 100,518

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Solution

The third proportional to 45,831 and 100,518 is: 220,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,831 : 100,518 = 100,518 : x
  2. Step 2: Convert to fraction form
    45,831/100,518 = 100,518/x
  3. Step 3: Cross multiply
    45,831x = 100,518 × 100,518
  4. Step 4: Simplify right side
    45,831x = 10,103,868,324
  5. Step 5: Solve for x
    x = 10,103,868,324/45,831
  6. Step 6: Final answer
    x = 220,459.26

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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.