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Finding the Third Proportional to 69,356 and 149,638

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Solution

The third proportional to 69,356 and 149,638 is: 322,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,356 : 149,638 = 149,638 : x
  2. Step 2: Convert to fraction form
    69,356/149,638 = 149,638/x
  3. Step 3: Cross multiply
    69,356x = 149,638 × 149,638
  4. Step 4: Simplify right side
    69,356x = 22,391,531,044
  5. Step 5: Solve for x
    x = 22,391,531,044/69,356
  6. Step 6: Final answer
    x = 322,849.23

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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.