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Finding the Third Proportional to 136,243.27 and 200,520.56

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Solution

The third proportional to 136,243.27 and 200,520.56 is: 295,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,243.27 : 200,520.56 = 200,520.56 : x
  2. Step 2: Convert to fraction form
    136,243.27/200,520.56 = 200,520.56/x
  3. Step 3: Cross multiply
    136,243.27x = 200,520.56 × 200,520.56
  4. Step 4: Simplify right side
    136,243.27x = 40,208,495,985.32
  5. Step 5: Solve for x
    x = 40,208,495,985.32/136,243.27
  6. Step 6: Final answer
    x = 295,122.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.