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Finding the Third Proportional to 69,276 and 149,606

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Solution

The third proportional to 69,276 and 149,606 is: 323,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276 : 149,606 = 149,606 : x
  2. Step 2: Convert to fraction form
    69,276/149,606 = 149,606/x
  3. Step 3: Cross multiply
    69,276x = 149,606 × 149,606
  4. Step 4: Simplify right side
    69,276x = 22,381,955,236
  5. Step 5: Solve for x
    x = 22,381,955,236/69,276
  6. Step 6: Final answer
    x = 323,083.83

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