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Finding the Third Proportional to 126,087 and 195,226

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Solution

The third proportional to 126,087 and 195,226 is: 302,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,087 : 195,226 = 195,226 : x
  2. Step 2: Convert to fraction form
    126,087/195,226 = 195,226/x
  3. Step 3: Cross multiply
    126,087x = 195,226 × 195,226
  4. Step 4: Simplify right side
    126,087x = 38,113,191,076
  5. Step 5: Solve for x
    x = 38,113,191,076/126,087
  6. Step 6: Final answer
    x = 302,276.93

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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.