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Finding the Third Proportional to 67,785 and 103,693.50

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Solution

The third proportional to 67,785 and 103,693.50 is: 158,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,785 : 103,693.50 = 103,693.50 : x
  2. Step 2: Convert to fraction form
    67,785/103,693.50 = 103,693.50/x
  3. Step 3: Cross multiply
    67,785x = 103,693.50 × 103,693.50
  4. Step 4: Simplify right side
    67,785x = 10,752,341,942.25
  5. Step 5: Solve for x
    x = 10,752,341,942.25/67,785
  6. Step 6: Final answer
    x = 158,624.21

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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.