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Finding the Third Proportional to 82,418 and 124,011

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Solution

The third proportional to 82,418 and 124,011 is: 186,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,418 : 124,011 = 124,011 : x
  2. Step 2: Convert to fraction form
    82,418/124,011 = 124,011/x
  3. Step 3: Cross multiply
    82,418x = 124,011 × 124,011
  4. Step 4: Simplify right side
    82,418x = 15,378,728,121
  5. Step 5: Solve for x
    x = 15,378,728,121/82,418
  6. Step 6: Final answer
    x = 186,594.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.