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Finding the Third Proportional to 50,901.75 and 109,607.06

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Solution

The third proportional to 50,901.75 and 109,607.06 is: 236,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,901.75 : 109,607.06 = 109,607.06 : x
  2. Step 2: Convert to fraction form
    50,901.75/109,607.06 = 109,607.06/x
  3. Step 3: Cross multiply
    50,901.75x = 109,607.06 × 109,607.06
  4. Step 4: Simplify right side
    50,901.75x = 12,013,708,149.88
  5. Step 5: Solve for x
    x = 12,013,708,149.88/50,901.75
  6. Step 6: Final answer
    x = 236,017.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.