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Finding the Third Proportional to 48,205.75 and 74,141.75

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Solution

The third proportional to 48,205.75 and 74,141.75 is: 114,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.75 : 74,141.75 = 74,141.75 : x
  2. Step 2: Convert to fraction form
    48,205.75/74,141.75 = 74,141.75/x
  3. Step 3: Cross multiply
    48,205.75x = 74,141.75 × 74,141.75
  4. Step 4: Simplify right side
    48,205.75x = 5,496,999,093.06
  5. Step 5: Solve for x
    x = 5,496,999,093.06/48,205.75
  6. Step 6: Final answer
    x = 114,032.02

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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.