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Finding the Third Proportional to 106,740 and 154,596

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Solution

The third proportional to 106,740 and 154,596 is: 223,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,740 : 154,596 = 154,596 : x
  2. Step 2: Convert to fraction form
    106,740/154,596 = 154,596/x
  3. Step 3: Cross multiply
    106,740x = 154,596 × 154,596
  4. Step 4: Simplify right side
    106,740x = 23,899,923,216
  5. Step 5: Solve for x
    x = 23,899,923,216/106,740
  6. Step 6: Final answer
    x = 223,907.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.