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Finding the Third Proportional to 83,964 and 177,405

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Solution

The third proportional to 83,964 and 177,405 is: 374,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,964 : 177,405 = 177,405 : x
  2. Step 2: Convert to fraction form
    83,964/177,405 = 177,405/x
  3. Step 3: Cross multiply
    83,964x = 177,405 × 177,405
  4. Step 4: Simplify right side
    83,964x = 31,472,534,025
  5. Step 5: Solve for x
    x = 31,472,534,025/83,964
  6. Step 6: Final answer
    x = 374,833.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.