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Finding the Third Proportional to 48,974.50 and 109,931

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Solution

The third proportional to 48,974.50 and 109,931 is: 246,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,974.50 : 109,931 = 109,931 : x
  2. Step 2: Convert to fraction form
    48,974.50/109,931 = 109,931/x
  3. Step 3: Cross multiply
    48,974.50x = 109,931 × 109,931
  4. Step 4: Simplify right side
    48,974.50x = 12,084,824,761
  5. Step 5: Solve for x
    x = 12,084,824,761/48,974.50
  6. Step 6: Final answer
    x = 246,757.49

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.