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Finding the Third Proportional to 50,976 and 110,154

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Solution

The third proportional to 50,976 and 110,154 is: 238,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976 : 110,154 = 110,154 : x
  2. Step 2: Convert to fraction form
    50,976/110,154 = 110,154/x
  3. Step 3: Cross multiply
    50,976x = 110,154 × 110,154
  4. Step 4: Simplify right side
    50,976x = 12,133,903,716
  5. Step 5: Solve for x
    x = 12,133,903,716/50,976
  6. Step 6: Final answer
    x = 238,031.70

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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.