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Finding the Third Proportional to 83,089 and 182,791

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Solution

The third proportional to 83,089 and 182,791 is: 402,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089 : 182,791 = 182,791 : x
  2. Step 2: Convert to fraction form
    83,089/182,791 = 182,791/x
  3. Step 3: Cross multiply
    83,089x = 182,791 × 182,791
  4. Step 4: Simplify right side
    83,089x = 33,412,549,681
  5. Step 5: Solve for x
    x = 33,412,549,681/83,089
  6. Step 6: Final answer
    x = 402,129.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.