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Finding the Third Proportional to 35,719 and 78,493

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Solution

The third proportional to 35,719 and 78,493 is: 172,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,719 : 78,493 = 78,493 : x
  2. Step 2: Convert to fraction form
    35,719/78,493 = 78,493/x
  3. Step 3: Cross multiply
    35,719x = 78,493 × 78,493
  4. Step 4: Simplify right side
    35,719x = 6,161,151,049
  5. Step 5: Solve for x
    x = 6,161,151,049/35,719
  6. Step 6: Final answer
    x = 172,489.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.