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Finding the Third Proportional to 48,128.75 and 74,072.75

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Solution

The third proportional to 48,128.75 and 74,072.75 is: 114,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,128.75 : 74,072.75 = 74,072.75 : x
  2. Step 2: Convert to fraction form
    48,128.75/74,072.75 = 74,072.75/x
  3. Step 3: Cross multiply
    48,128.75x = 74,072.75 × 74,072.75
  4. Step 4: Simplify right side
    48,128.75x = 5,486,772,292.56
  5. Step 5: Solve for x
    x = 5,486,772,292.56/48,128.75
  6. Step 6: Final answer
    x = 114,001.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.