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Finding the Third Proportional to 61,944.75 and 137,487.38

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Solution

The third proportional to 61,944.75 and 137,487.38 is: 305,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,944.75 : 137,487.38 = 137,487.38 : x
  2. Step 2: Convert to fraction form
    61,944.75/137,487.38 = 137,487.38/x
  3. Step 3: Cross multiply
    61,944.75x = 137,487.38 × 137,487.38
  4. Step 4: Simplify right side
    61,944.75x = 18,902,778,284.39
  5. Step 5: Solve for x
    x = 18,902,778,284.39/61,944.75
  6. Step 6: Final answer
    x = 305,155.45

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.