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Finding the Third Proportional to 78,993 and 173,292.75

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Solution

The third proportional to 78,993 and 173,292.75 is: 380,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,993 : 173,292.75 = 173,292.75 : x
  2. Step 2: Convert to fraction form
    78,993/173,292.75 = 173,292.75/x
  3. Step 3: Cross multiply
    78,993x = 173,292.75 × 173,292.75
  4. Step 4: Simplify right side
    78,993x = 30,030,377,202.56
  5. Step 5: Solve for x
    x = 30,030,377,202.56/78,993
  6. Step 6: Final answer
    x = 380,165.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.