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Finding the Third Proportional to 115,734 and 154,329

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Solution

The third proportional to 115,734 and 154,329 is: 205,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,734 : 154,329 = 154,329 : x
  2. Step 2: Convert to fraction form
    115,734/154,329 = 154,329/x
  3. Step 3: Cross multiply
    115,734x = 154,329 × 154,329
  4. Step 4: Simplify right side
    115,734x = 23,817,440,241
  5. Step 5: Solve for x
    x = 23,817,440,241/115,734
  6. Step 6: Final answer
    x = 205,794.67

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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.