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Finding the Third Proportional to 130,493 and 195,679

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Solution

The third proportional to 130,493 and 195,679 is: 293,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,493 : 195,679 = 195,679 : x
  2. Step 2: Convert to fraction form
    130,493/195,679 = 195,679/x
  3. Step 3: Cross multiply
    130,493x = 195,679 × 195,679
  4. Step 4: Simplify right side
    130,493x = 38,290,271,041
  5. Step 5: Solve for x
    x = 38,290,271,041/130,493
  6. Step 6: Final answer
    x = 293,427.78

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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.