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Finding the Third Proportional to 67,809.75 and 100,332.38

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Solution

The third proportional to 67,809.75 and 100,332.38 is: 148,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,809.75 : 100,332.38 = 100,332.38 : x
  2. Step 2: Convert to fraction form
    67,809.75/100,332.38 = 100,332.38/x
  3. Step 3: Cross multiply
    67,809.75x = 100,332.38 × 100,332.38
  4. Step 4: Simplify right side
    67,809.75x = 10,066,585,473.14
  5. Step 5: Solve for x
    x = 10,066,585,473.14/67,809.75
  6. Step 6: Final answer
    x = 148,453.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.