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Finding the Third Proportional to 68,937 and 100,668.75

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Solution

The third proportional to 68,937 and 100,668.75 is: 147,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,937 : 100,668.75 = 100,668.75 : x
  2. Step 2: Convert to fraction form
    68,937/100,668.75 = 100,668.75/x
  3. Step 3: Cross multiply
    68,937x = 100,668.75 × 100,668.75
  4. Step 4: Simplify right side
    68,937x = 10,134,197,226.56
  5. Step 5: Solve for x
    x = 10,134,197,226.56/68,937
  6. Step 6: Final answer
    x = 147,006.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.