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Finding the Third Proportional to 68,937 and 105,390

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Solution

The third proportional to 68,937 and 105,390 is: 161,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,937 : 105,390 = 105,390 : x
  2. Step 2: Convert to fraction form
    68,937/105,390 = 105,390/x
  3. Step 3: Cross multiply
    68,937x = 105,390 × 105,390
  4. Step 4: Simplify right side
    68,937x = 11,107,052,100
  5. Step 5: Solve for x
    x = 11,107,052,100/68,937
  6. Step 6: Final answer
    x = 161,118.88

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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.