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Finding the Third Proportional to 44,152 and 86,084

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Solution

The third proportional to 44,152 and 86,084 is: 167,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,152 : 86,084 = 86,084 : x
  2. Step 2: Convert to fraction form
    44,152/86,084 = 86,084/x
  3. Step 3: Cross multiply
    44,152x = 86,084 × 86,084
  4. Step 4: Simplify right side
    44,152x = 7,410,455,056
  5. Step 5: Solve for x
    x = 7,410,455,056/44,152
  6. Step 6: Final answer
    x = 167,839.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.