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Finding the Third Proportional to 52,053.75 and 112,002.75

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Solution

The third proportional to 52,053.75 and 112,002.75 is: 240,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,053.75 : 112,002.75 = 112,002.75 : x
  2. Step 2: Convert to fraction form
    52,053.75/112,002.75 = 112,002.75/x
  3. Step 3: Cross multiply
    52,053.75x = 112,002.75 × 112,002.75
  4. Step 4: Simplify right side
    52,053.75x = 12,544,616,007.56
  5. Step 5: Solve for x
    x = 12,544,616,007.56/52,053.75
  6. Step 6: Final answer
    x = 240,993.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.