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Finding the Third Proportional to 48,146 and 72,087

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Solution

The third proportional to 48,146 and 72,087 is: 107,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,146 : 72,087 = 72,087 : x
  2. Step 2: Convert to fraction form
    48,146/72,087 = 72,087/x
  3. Step 3: Cross multiply
    48,146x = 72,087 × 72,087
  4. Step 4: Simplify right side
    48,146x = 5,196,535,569
  5. Step 5: Solve for x
    x = 5,196,535,569/48,146
  6. Step 6: Final answer
    x = 107,932.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.