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Finding the Third Proportional to 68,877 and 105,356

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Solution

The third proportional to 68,877 and 105,356 is: 161,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,877 : 105,356 = 105,356 : x
  2. Step 2: Convert to fraction form
    68,877/105,356 = 105,356/x
  3. Step 3: Cross multiply
    68,877x = 105,356 × 105,356
  4. Step 4: Simplify right side
    68,877x = 11,099,886,736
  5. Step 5: Solve for x
    x = 11,099,886,736/68,877
  6. Step 6: Final answer
    x = 161,155.20

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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.