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Finding the Third Proportional to 132,028 and 175,068

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Solution

The third proportional to 132,028 and 175,068 is: 232,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,028 : 175,068 = 175,068 : x
  2. Step 2: Convert to fraction form
    132,028/175,068 = 175,068/x
  3. Step 3: Cross multiply
    132,028x = 175,068 × 175,068
  4. Step 4: Simplify right side
    132,028x = 30,648,804,624
  5. Step 5: Solve for x
    x = 30,648,804,624/132,028
  6. Step 6: Final answer
    x = 232,138.67

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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.