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Finding the Third Proportional to 48,164.25 and 76,707.75

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Solution

The third proportional to 48,164.25 and 76,707.75 is: 122,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,164.25 : 76,707.75 = 76,707.75 : x
  2. Step 2: Convert to fraction form
    48,164.25/76,707.75 = 76,707.75/x
  3. Step 3: Cross multiply
    48,164.25x = 76,707.75 × 76,707.75
  4. Step 4: Simplify right side
    48,164.25x = 5,884,078,910.06
  5. Step 5: Solve for x
    x = 5,884,078,910.06/48,164.25
  6. Step 6: Final answer
    x = 122,166.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.