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Finding the Third Proportional to 69,354 and 149,526

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Solution

The third proportional to 69,354 and 149,526 is: 322,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,354 : 149,526 = 149,526 : x
  2. Step 2: Convert to fraction form
    69,354/149,526 = 149,526/x
  3. Step 3: Cross multiply
    69,354x = 149,526 × 149,526
  4. Step 4: Simplify right side
    69,354x = 22,358,024,676
  5. Step 5: Solve for x
    x = 22,358,024,676/69,354
  6. Step 6: Final answer
    x = 322,375.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.