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Finding the Third Proportional to 48,726 and 72,892

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Solution

The third proportional to 48,726 and 72,892 is: 109,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 72,892 = 72,892 : x
  2. Step 2: Convert to fraction form
    48,726/72,892 = 72,892/x
  3. Step 3: Cross multiply
    48,726x = 72,892 × 72,892
  4. Step 4: Simplify right side
    48,726x = 5,313,243,664
  5. Step 5: Solve for x
    x = 5,313,243,664/48,726
  6. Step 6: Final answer
    x = 109,043.30

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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.