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Finding the Third Proportional to 82,249 and 170,959

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Solution

The third proportional to 82,249 and 170,959 is: 355,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,249 : 170,959 = 170,959 : x
  2. Step 2: Convert to fraction form
    82,249/170,959 = 170,959/x
  3. Step 3: Cross multiply
    82,249x = 170,959 × 170,959
  4. Step 4: Simplify right side
    82,249x = 29,226,979,681
  5. Step 5: Solve for x
    x = 29,226,979,681/82,249
  6. Step 6: Final answer
    x = 355,347.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.