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Finding the Third Proportional to 51,121.13 and 109,350

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Solution

The third proportional to 51,121.13 and 109,350 is: 233,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,121.13 : 109,350 = 109,350 : x
  2. Step 2: Convert to fraction form
    51,121.13/109,350 = 109,350/x
  3. Step 3: Cross multiply
    51,121.13x = 109,350 × 109,350
  4. Step 4: Simplify right side
    51,121.13x = 11,957,422,500
  5. Step 5: Solve for x
    x = 11,957,422,500/51,121.13
  6. Step 6: Final answer
    x = 233,903.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.