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Finding the Third Proportional to 69,364 and 149,654

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Solution

The third proportional to 69,364 and 149,654 is: 322,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,364 : 149,654 = 149,654 : x
  2. Step 2: Convert to fraction form
    69,364/149,654 = 149,654/x
  3. Step 3: Cross multiply
    69,364x = 149,654 × 149,654
  4. Step 4: Simplify right side
    69,364x = 22,396,319,716
  5. Step 5: Solve for x
    x = 22,396,319,716/69,364
  6. Step 6: Final answer
    x = 322,881.03

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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.