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Finding the Third Proportional to 48,701.25 and 84,462.75

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Solution

The third proportional to 48,701.25 and 84,462.75 is: 146,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701.25 : 84,462.75 = 84,462.75 : x
  2. Step 2: Convert to fraction form
    48,701.25/84,462.75 = 84,462.75/x
  3. Step 3: Cross multiply
    48,701.25x = 84,462.75 × 84,462.75
  4. Step 4: Simplify right side
    48,701.25x = 7,133,956,137.56
  5. Step 5: Solve for x
    x = 7,133,956,137.56/48,701.25
  6. Step 6: Final answer
    x = 146,484.05

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.