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Finding the Third Proportional to 69,098 and 149,224

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Solution

The third proportional to 69,098 and 149,224 is: 322,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098 : 149,224 = 149,224 : x
  2. Step 2: Convert to fraction form
    69,098/149,224 = 149,224/x
  3. Step 3: Cross multiply
    69,098x = 149,224 × 149,224
  4. Step 4: Simplify right side
    69,098x = 22,267,802,176
  5. Step 5: Solve for x
    x = 22,267,802,176/69,098
  6. Step 6: Final answer
    x = 322,264.06

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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.