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Finding the Third Proportional to 49,953.75 and 109,060.50

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Solution

The third proportional to 49,953.75 and 109,060.50 is: 238,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,953.75 : 109,060.50 = 109,060.50 : x
  2. Step 2: Convert to fraction form
    49,953.75/109,060.50 = 109,060.50/x
  3. Step 3: Cross multiply
    49,953.75x = 109,060.50 × 109,060.50
  4. Step 4: Simplify right side
    49,953.75x = 11,894,192,660.25
  5. Step 5: Solve for x
    x = 11,894,192,660.25/49,953.75
  6. Step 6: Final answer
    x = 238,104.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.