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Finding the Third Proportional to 68,619 and 152,035

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Solution

The third proportional to 68,619 and 152,035 is: 336,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,619 : 152,035 = 152,035 : x
  2. Step 2: Convert to fraction form
    68,619/152,035 = 152,035/x
  3. Step 3: Cross multiply
    68,619x = 152,035 × 152,035
  4. Step 4: Simplify right side
    68,619x = 23,114,641,225
  5. Step 5: Solve for x
    x = 23,114,641,225/68,619
  6. Step 6: Final answer
    x = 336,854.82

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.