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Finding the Third Proportional to 45,836 and 68,318

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Solution

The third proportional to 45,836 and 68,318 is: 101,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,836 : 68,318 = 68,318 : x
  2. Step 2: Convert to fraction form
    45,836/68,318 = 68,318/x
  3. Step 3: Cross multiply
    45,836x = 68,318 × 68,318
  4. Step 4: Simplify right side
    45,836x = 4,667,349,124
  5. Step 5: Solve for x
    x = 4,667,349,124/45,836
  6. Step 6: Final answer
    x = 101,827.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.