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Finding the Third Proportional to 45,164 and 96,604

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Solution

The third proportional to 45,164 and 96,604 is: 206,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,164 : 96,604 = 96,604 : x
  2. Step 2: Convert to fraction form
    45,164/96,604 = 96,604/x
  3. Step 3: Cross multiply
    45,164x = 96,604 × 96,604
  4. Step 4: Simplify right side
    45,164x = 9,332,332,816
  5. Step 5: Solve for x
    x = 9,332,332,816/45,164
  6. Step 6: Final answer
    x = 206,632.11

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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.