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Finding the Third Proportional to 48,167.75 and 76,710.75

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Solution

The third proportional to 48,167.75 and 76,710.75 is: 122,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,167.75 : 76,710.75 = 76,710.75 : x
  2. Step 2: Convert to fraction form
    48,167.75/76,710.75 = 76,710.75/x
  3. Step 3: Cross multiply
    48,167.75x = 76,710.75 × 76,710.75
  4. Step 4: Simplify right side
    48,167.75x = 5,884,539,165.56
  5. Step 5: Solve for x
    x = 5,884,539,165.56/48,167.75
  6. Step 6: Final answer
    x = 122,167.62

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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.