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Finding the Third Proportional to 69,295 and 149,678

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Solution

The third proportional to 69,295 and 149,678 is: 323,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,295 : 149,678 = 149,678 : x
  2. Step 2: Convert to fraction form
    69,295/149,678 = 149,678/x
  3. Step 3: Cross multiply
    69,295x = 149,678 × 149,678
  4. Step 4: Simplify right side
    69,295x = 22,403,503,684
  5. Step 5: Solve for x
    x = 22,403,503,684/69,295
  6. Step 6: Final answer
    x = 323,306.21

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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.