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Finding the Third Proportional to 67,824.84 and 147,322.97

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Solution

The third proportional to 67,824.84 and 147,322.97 is: 320,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824.84 : 147,322.97 = 147,322.97 : x
  2. Step 2: Convert to fraction form
    67,824.84/147,322.97 = 147,322.97/x
  3. Step 3: Cross multiply
    67,824.84x = 147,322.97 × 147,322.97
  4. Step 4: Simplify right side
    67,824.84x = 21,704,057,121.31
  5. Step 5: Solve for x
    x = 21,704,057,121.31/67,824.84
  6. Step 6: Final answer
    x = 320,001.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.