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Finding the Third Proportional to 50,972 and 110,440

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Solution

The third proportional to 50,972 and 110,440 is: 239,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972 : 110,440 = 110,440 : x
  2. Step 2: Convert to fraction form
    50,972/110,440 = 110,440/x
  3. Step 3: Cross multiply
    50,972x = 110,440 × 110,440
  4. Step 4: Simplify right side
    50,972x = 12,196,993,600
  5. Step 5: Solve for x
    x = 12,196,993,600/50,972
  6. Step 6: Final answer
    x = 239,288.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.