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Finding the Third Proportional to 132,000 and 175,033.50

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Solution

The third proportional to 132,000 and 175,033.50 is: 232,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,000 : 175,033.50 = 175,033.50 : x
  2. Step 2: Convert to fraction form
    132,000/175,033.50 = 175,033.50/x
  3. Step 3: Cross multiply
    132,000x = 175,033.50 × 175,033.50
  4. Step 4: Simplify right side
    132,000x = 30,636,726,122.25
  5. Step 5: Solve for x
    x = 30,636,726,122.25/132,000
  6. Step 6: Final answer
    x = 232,096.41

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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.