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Finding the Third Proportional to 126,098 and 190,652

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Solution

The third proportional to 126,098 and 190,652 is: 288,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,098 : 190,652 = 190,652 : x
  2. Step 2: Convert to fraction form
    126,098/190,652 = 190,652/x
  3. Step 3: Cross multiply
    126,098x = 190,652 × 190,652
  4. Step 4: Simplify right side
    126,098x = 36,348,185,104
  5. Step 5: Solve for x
    x = 36,348,185,104/126,098
  6. Step 6: Final answer
    x = 288,253.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.