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Finding the Third Proportional to 67,826 and 103,317

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Solution

The third proportional to 67,826 and 103,317 is: 157,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,826 : 103,317 = 103,317 : x
  2. Step 2: Convert to fraction form
    67,826/103,317 = 103,317/x
  3. Step 3: Cross multiply
    67,826x = 103,317 × 103,317
  4. Step 4: Simplify right side
    67,826x = 10,674,402,489
  5. Step 5: Solve for x
    x = 10,674,402,489/67,826
  6. Step 6: Final answer
    x = 157,379.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.