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Finding the Third Proportional to 51,981.75 and 112,255.88

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Solution

The third proportional to 51,981.75 and 112,255.88 is: 242,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981.75 : 112,255.88 = 112,255.88 : x
  2. Step 2: Convert to fraction form
    51,981.75/112,255.88 = 112,255.88/x
  3. Step 3: Cross multiply
    51,981.75x = 112,255.88 × 112,255.88
  4. Step 4: Simplify right side
    51,981.75x = 12,601,381,472.02
  5. Step 5: Solve for x
    x = 12,601,381,472.02/51,981.75
  6. Step 6: Final answer
    x = 242,419.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.