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Finding the Third Proportional to 126,361 and 190,054.50

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Solution

The third proportional to 126,361 and 190,054.50 is: 285,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,361 : 190,054.50 = 190,054.50 : x
  2. Step 2: Convert to fraction form
    126,361/190,054.50 = 190,054.50/x
  3. Step 3: Cross multiply
    126,361x = 190,054.50 × 190,054.50
  4. Step 4: Simplify right side
    126,361x = 36,120,712,970.25
  5. Step 5: Solve for x
    x = 36,120,712,970.25/126,361
  6. Step 6: Final answer
    x = 285,853.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.