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Finding the Third Proportional to 32,180 and 75,186

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Solution

The third proportional to 32,180 and 75,186 is: 175,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180 : 75,186 = 75,186 : x
  2. Step 2: Convert to fraction form
    32,180/75,186 = 75,186/x
  3. Step 3: Cross multiply
    32,180x = 75,186 × 75,186
  4. Step 4: Simplify right side
    32,180x = 5,652,934,596
  5. Step 5: Solve for x
    x = 5,652,934,596/32,180
  6. Step 6: Final answer
    x = 175,666.08

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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.