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Finding the Third Proportional to 45,399 and 89,635

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Solution

The third proportional to 45,399 and 89,635 is: 176,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,399 : 89,635 = 89,635 : x
  2. Step 2: Convert to fraction form
    45,399/89,635 = 89,635/x
  3. Step 3: Cross multiply
    45,399x = 89,635 × 89,635
  4. Step 4: Simplify right side
    45,399x = 8,034,433,225
  5. Step 5: Solve for x
    x = 8,034,433,225/45,399
  6. Step 6: Final answer
    x = 176,973.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.