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Finding the Third Proportional to 132,084 and 187,008

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Solution

The third proportional to 132,084 and 187,008 is: 264,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,084 : 187,008 = 187,008 : x
  2. Step 2: Convert to fraction form
    132,084/187,008 = 187,008/x
  3. Step 3: Cross multiply
    132,084x = 187,008 × 187,008
  4. Step 4: Simplify right side
    132,084x = 34,971,992,064
  5. Step 5: Solve for x
    x = 34,971,992,064/132,084
  6. Step 6: Final answer
    x = 264,770.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.