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Finding the Third Proportional to 52,633.97 and 80,903.39

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Solution

The third proportional to 52,633.97 and 80,903.39 is: 124,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,633.97 : 80,903.39 = 80,903.39 : x
  2. Step 2: Convert to fraction form
    52,633.97/80,903.39 = 80,903.39/x
  3. Step 3: Cross multiply
    52,633.97x = 80,903.39 × 80,903.39
  4. Step 4: Simplify right side
    52,633.97x = 6,545,358,614.62
  5. Step 5: Solve for x
    x = 6,545,358,614.62/52,633.97
  6. Step 6: Final answer
    x = 124,356.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.