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Finding the Third Proportional to 75,743 and 106,202

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Solution

The third proportional to 75,743 and 106,202 is: 148,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,743 : 106,202 = 106,202 : x
  2. Step 2: Convert to fraction form
    75,743/106,202 = 106,202/x
  3. Step 3: Cross multiply
    75,743x = 106,202 × 106,202
  4. Step 4: Simplify right side
    75,743x = 11,278,864,804
  5. Step 5: Solve for x
    x = 11,278,864,804/75,743
  6. Step 6: Final answer
    x = 148,909.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.