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Finding the Third Proportional to 109,552.50 and 164,058.75

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Solution

The third proportional to 109,552.50 and 164,058.75 is: 245,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,552.50 : 164,058.75 = 164,058.75 : x
  2. Step 2: Convert to fraction form
    109,552.50/164,058.75 = 164,058.75/x
  3. Step 3: Cross multiply
    109,552.50x = 164,058.75 × 164,058.75
  4. Step 4: Simplify right side
    109,552.50x = 26,915,273,451.56
  5. Step 5: Solve for x
    x = 26,915,273,451.56/109,552.50
  6. Step 6: Final answer
    x = 245,683.79

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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.