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Finding the Third Proportional to 132,024 and 175,986

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Solution

The third proportional to 132,024 and 175,986 is: 234,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,024 : 175,986 = 175,986 : x
  2. Step 2: Convert to fraction form
    132,024/175,986 = 175,986/x
  3. Step 3: Cross multiply
    132,024x = 175,986 × 175,986
  4. Step 4: Simplify right side
    132,024x = 30,971,072,196
  5. Step 5: Solve for x
    x = 30,971,072,196/132,024
  6. Step 6: Final answer
    x = 234,586.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.