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Finding the Third Proportional to 126,095 and 190,649

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Solution

The third proportional to 126,095 and 190,649 is: 288,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,095 : 190,649 = 190,649 : x
  2. Step 2: Convert to fraction form
    126,095/190,649 = 190,649/x
  3. Step 3: Cross multiply
    126,095x = 190,649 × 190,649
  4. Step 4: Simplify right side
    126,095x = 36,347,041,201
  5. Step 5: Solve for x
    x = 36,347,041,201/126,095
  6. Step 6: Final answer
    x = 288,251.25

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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.