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Finding the Third Proportional to 83,926 and 182,460

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Solution

The third proportional to 83,926 and 182,460 is: 396,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,926 : 182,460 = 182,460 : x
  2. Step 2: Convert to fraction form
    83,926/182,460 = 182,460/x
  3. Step 3: Cross multiply
    83,926x = 182,460 × 182,460
  4. Step 4: Simplify right side
    83,926x = 33,291,651,600
  5. Step 5: Solve for x
    x = 33,291,651,600/83,926
  6. Step 6: Final answer
    x = 396,678.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.