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Finding the Third Proportional to 67,833 and 103,765.50

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Solution

The third proportional to 67,833 and 103,765.50 is: 158,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,833 : 103,765.50 = 103,765.50 : x
  2. Step 2: Convert to fraction form
    67,833/103,765.50 = 103,765.50/x
  3. Step 3: Cross multiply
    67,833x = 103,765.50 × 103,765.50
  4. Step 4: Simplify right side
    67,833x = 10,767,278,990.25
  5. Step 5: Solve for x
    x = 10,767,278,990.25/67,833
  6. Step 6: Final answer
    x = 158,732.17

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