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Finding the Third Proportional to 138,741.75 and 187,996.50

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Solution

The third proportional to 138,741.75 and 187,996.50 is: 254,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,741.75 : 187,996.50 = 187,996.50 : x
  2. Step 2: Convert to fraction form
    138,741.75/187,996.50 = 187,996.50/x
  3. Step 3: Cross multiply
    138,741.75x = 187,996.50 × 187,996.50
  4. Step 4: Simplify right side
    138,741.75x = 35,342,684,012.25
  5. Step 5: Solve for x
    x = 35,342,684,012.25/138,741.75
  6. Step 6: Final answer
    x = 254,737.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.