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Finding the Third Proportional to 67,819 and 103,308

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Solution

The third proportional to 67,819 and 103,308 is: 157,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,819 : 103,308 = 103,308 : x
  2. Step 2: Convert to fraction form
    67,819/103,308 = 103,308/x
  3. Step 3: Cross multiply
    67,819x = 103,308 × 103,308
  4. Step 4: Simplify right side
    67,819x = 10,672,542,864
  5. Step 5: Solve for x
    x = 10,672,542,864/67,819
  6. Step 6: Final answer
    x = 157,368.04

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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.