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Finding the Third Proportional to 52,108.75 and 109,959.50

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Solution

The third proportional to 52,108.75 and 109,959.50 is: 232,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,108.75 : 109,959.50 = 109,959.50 : x
  2. Step 2: Convert to fraction form
    52,108.75/109,959.50 = 109,959.50/x
  3. Step 3: Cross multiply
    52,108.75x = 109,959.50 × 109,959.50
  4. Step 4: Simplify right side
    52,108.75x = 12,091,091,640.25
  5. Step 5: Solve for x
    x = 12,091,091,640.25/52,108.75
  6. Step 6: Final answer
    x = 232,035.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.