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Finding the Third Proportional to 132,032 and 175,080

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Solution

The third proportional to 132,032 and 175,080 is: 232,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032 : 175,080 = 175,080 : x
  2. Step 2: Convert to fraction form
    132,032/175,080 = 175,080/x
  3. Step 3: Cross multiply
    132,032x = 175,080 × 175,080
  4. Step 4: Simplify right side
    132,032x = 30,653,006,400
  5. Step 5: Solve for x
    x = 30,653,006,400/132,032
  6. Step 6: Final answer
    x = 232,163.46

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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.