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Finding the Third Proportional to 55,951.31 and 109,047.38

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Solution

The third proportional to 55,951.31 and 109,047.38 is: 212,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,951.31 : 109,047.38 = 109,047.38 : x
  2. Step 2: Convert to fraction form
    55,951.31/109,047.38 = 109,047.38/x
  3. Step 3: Cross multiply
    55,951.31x = 109,047.38 × 109,047.38
  4. Step 4: Simplify right side
    55,951.31x = 11,891,329,994.39
  5. Step 5: Solve for x
    x = 11,891,329,994.39/55,951.31
  6. Step 6: Final answer
    x = 212,529.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.