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Finding the Third Proportional to 83,100 and 181,239

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Solution

The third proportional to 83,100 and 181,239 is: 395,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,100 : 181,239 = 181,239 : x
  2. Step 2: Convert to fraction form
    83,100/181,239 = 181,239/x
  3. Step 3: Cross multiply
    83,100x = 181,239 × 181,239
  4. Step 4: Simplify right side
    83,100x = 32,847,575,121
  5. Step 5: Solve for x
    x = 32,847,575,121/83,100
  6. Step 6: Final answer
    x = 395,277.68

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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.