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Finding the Third Proportional to 75,078 and 112,394.25

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Solution

The third proportional to 75,078 and 112,394.25 is: 168,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,078 : 112,394.25 = 112,394.25 : x
  2. Step 2: Convert to fraction form
    75,078/112,394.25 = 112,394.25/x
  3. Step 3: Cross multiply
    75,078x = 112,394.25 × 112,394.25
  4. Step 4: Simplify right side
    75,078x = 12,632,467,433.06
  5. Step 5: Solve for x
    x = 12,632,467,433.06/75,078
  6. Step 6: Final answer
    x = 168,257.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.