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Finding the Third Proportional to 106,752 and 154,620

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Solution

The third proportional to 106,752 and 154,620 is: 223,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,752 : 154,620 = 154,620 : x
  2. Step 2: Convert to fraction form
    106,752/154,620 = 154,620/x
  3. Step 3: Cross multiply
    106,752x = 154,620 × 154,620
  4. Step 4: Simplify right side
    106,752x = 23,907,344,400
  5. Step 5: Solve for x
    x = 23,907,344,400/106,752
  6. Step 6: Final answer
    x = 223,952.19

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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.