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Finding the Third Proportional to 83,025 and 177,865

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Solution

The third proportional to 83,025 and 177,865 is: 381,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,025 : 177,865 = 177,865 : x
  2. Step 2: Convert to fraction form
    83,025/177,865 = 177,865/x
  3. Step 3: Cross multiply
    83,025x = 177,865 × 177,865
  4. Step 4: Simplify right side
    83,025x = 31,635,958,225
  5. Step 5: Solve for x
    x = 31,635,958,225/83,025
  6. Step 6: Final answer
    x = 381,041.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.