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Finding the Third Proportional to 69,236 and 105,840

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Solution

The third proportional to 69,236 and 105,840 is: 161,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,236 : 105,840 = 105,840 : x
  2. Step 2: Convert to fraction form
    69,236/105,840 = 105,840/x
  3. Step 3: Cross multiply
    69,236x = 105,840 × 105,840
  4. Step 4: Simplify right side
    69,236x = 11,202,105,600
  5. Step 5: Solve for x
    x = 11,202,105,600/69,236
  6. Step 6: Final answer
    x = 161,795.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.