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Finding the Third Proportional to 126,049.50 and 195,152.25

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Solution

The third proportional to 126,049.50 and 195,152.25 is: 302,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,049.50 : 195,152.25 = 195,152.25 : x
  2. Step 2: Convert to fraction form
    126,049.50/195,152.25 = 195,152.25/x
  3. Step 3: Cross multiply
    126,049.50x = 195,152.25 × 195,152.25
  4. Step 4: Simplify right side
    126,049.50x = 38,084,400,680.06
  5. Step 5: Solve for x
    x = 38,084,400,680.06/126,049.50
  6. Step 6: Final answer
    x = 302,138.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.