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Finding the Third Proportional to 51,622 and 109,446

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Solution

The third proportional to 51,622 and 109,446 is: 232,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,622 : 109,446 = 109,446 : x
  2. Step 2: Convert to fraction form
    51,622/109,446 = 109,446/x
  3. Step 3: Cross multiply
    51,622x = 109,446 × 109,446
  4. Step 4: Simplify right side
    51,622x = 11,978,426,916
  5. Step 5: Solve for x
    x = 11,978,426,916/51,622
  6. Step 6: Final answer
    x = 232,041.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.