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Finding the Third Proportional to 132,001 and 175,035

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Solution

The third proportional to 132,001 and 175,035 is: 232,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,001 : 175,035 = 175,035 : x
  2. Step 2: Convert to fraction form
    132,001/175,035 = 175,035/x
  3. Step 3: Cross multiply
    132,001x = 175,035 × 175,035
  4. Step 4: Simplify right side
    132,001x = 30,637,251,225
  5. Step 5: Solve for x
    x = 30,637,251,225/132,001
  6. Step 6: Final answer
    x = 232,098.63

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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.