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Finding the Third Proportional to 124,150.50 and 192,585.38

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Solution

The third proportional to 124,150.50 and 192,585.38 is: 298,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,150.50 : 192,585.38 = 192,585.38 : x
  2. Step 2: Convert to fraction form
    124,150.50/192,585.38 = 192,585.38/x
  3. Step 3: Cross multiply
    124,150.50x = 192,585.38 × 192,585.38
  4. Step 4: Simplify right side
    124,150.50x = 37,089,126,663.89
  5. Step 5: Solve for x
    x = 37,089,126,663.89/124,150.50
  6. Step 6: Final answer
    x = 298,743.27

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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.