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Finding the Third Proportional to 51,951.38 and 112,191.75

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Solution

The third proportional to 51,951.38 and 112,191.75 is: 242,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.38 : 112,191.75 = 112,191.75 : x
  2. Step 2: Convert to fraction form
    51,951.38/112,191.75 = 112,191.75/x
  3. Step 3: Cross multiply
    51,951.38x = 112,191.75 × 112,191.75
  4. Step 4: Simplify right side
    51,951.38x = 12,586,988,768.06
  5. Step 5: Solve for x
    x = 12,586,988,768.06/51,951.38
  6. Step 6: Final answer
    x = 242,284.04

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Why These Related Problems?

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