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Finding the Third Proportional to 32,182 and 75,191

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Solution

The third proportional to 32,182 and 75,191 is: 175,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182 : 75,191 = 75,191 : x
  2. Step 2: Convert to fraction form
    32,182/75,191 = 75,191/x
  3. Step 3: Cross multiply
    32,182x = 75,191 × 75,191
  4. Step 4: Simplify right side
    32,182x = 5,653,686,481
  5. Step 5: Solve for x
    x = 5,653,686,481/32,182
  6. Step 6: Final answer
    x = 175,678.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.