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Finding the Third Proportional to 126,202 and 188,209

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Solution

The third proportional to 126,202 and 188,209 is: 280,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,202 : 188,209 = 188,209 : x
  2. Step 2: Convert to fraction form
    126,202/188,209 = 188,209/x
  3. Step 3: Cross multiply
    126,202x = 188,209 × 188,209
  4. Step 4: Simplify right side
    126,202x = 35,422,627,681
  5. Step 5: Solve for x
    x = 35,422,627,681/126,202
  6. Step 6: Final answer
    x = 280,681.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.