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Finding the Third Proportional to 70,158 and 155,084

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Solution

The third proportional to 70,158 and 155,084 is: 342,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,158 : 155,084 = 155,084 : x
  2. Step 2: Convert to fraction form
    70,158/155,084 = 155,084/x
  3. Step 3: Cross multiply
    70,158x = 155,084 × 155,084
  4. Step 4: Simplify right side
    70,158x = 24,051,047,056
  5. Step 5: Solve for x
    x = 24,051,047,056/70,158
  6. Step 6: Final answer
    x = 342,812.61

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.