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Finding the Third Proportional to 83,457 and 185,571

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Solution

The third proportional to 83,457 and 185,571 is: 412,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,457 : 185,571 = 185,571 : x
  2. Step 2: Convert to fraction form
    83,457/185,571 = 185,571/x
  3. Step 3: Cross multiply
    83,457x = 185,571 × 185,571
  4. Step 4: Simplify right side
    83,457x = 34,436,596,041
  5. Step 5: Solve for x
    x = 34,436,596,041/83,457
  6. Step 6: Final answer
    x = 412,626.81

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Why These Related Problems?

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