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Finding the Third Proportional to 106,722 and 154,572

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Solution

The third proportional to 106,722 and 154,572 is: 223,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722 : 154,572 = 154,572 : x
  2. Step 2: Convert to fraction form
    106,722/154,572 = 154,572/x
  3. Step 3: Cross multiply
    106,722x = 154,572 × 154,572
  4. Step 4: Simplify right side
    106,722x = 23,892,503,184
  5. Step 5: Solve for x
    x = 23,892,503,184/106,722
  6. Step 6: Final answer
    x = 223,876.08

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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.