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Finding the Third Proportional to 126,957.38 and 192,928.50

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Solution

The third proportional to 126,957.38 and 192,928.50 is: 293,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,957.38 : 192,928.50 = 192,928.50 : x
  2. Step 2: Convert to fraction form
    126,957.38/192,928.50 = 192,928.50/x
  3. Step 3: Cross multiply
    126,957.38x = 192,928.50 × 192,928.50
  4. Step 4: Simplify right side
    126,957.38x = 37,221,406,112.25
  5. Step 5: Solve for x
    x = 37,221,406,112.25/126,957.38
  6. Step 6: Final answer
    x = 293,180.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.