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Finding the Third Proportional to 78,821 and 175,135

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Solution

The third proportional to 78,821 and 175,135 is: 389,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821 : 175,135 = 175,135 : x
  2. Step 2: Convert to fraction form
    78,821/175,135 = 175,135/x
  3. Step 3: Cross multiply
    78,821x = 175,135 × 175,135
  4. Step 4: Simplify right side
    78,821x = 30,672,268,225
  5. Step 5: Solve for x
    x = 30,672,268,225/78,821
  6. Step 6: Final answer
    x = 389,138.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.