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Finding the Third Proportional to 126,049 and 195,271

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Solution

The third proportional to 126,049 and 195,271 is: 302,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,049 : 195,271 = 195,271 : x
  2. Step 2: Convert to fraction form
    126,049/195,271 = 195,271/x
  3. Step 3: Cross multiply
    126,049x = 195,271 × 195,271
  4. Step 4: Simplify right side
    126,049x = 38,130,763,441
  5. Step 5: Solve for x
    x = 38,130,763,441/126,049
  6. Step 6: Final answer
    x = 302,507.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.