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Finding the Third Proportional to 47,463 and 101,061

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Solution

The third proportional to 47,463 and 101,061 is: 215,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,463 : 101,061 = 101,061 : x
  2. Step 2: Convert to fraction form
    47,463/101,061 = 101,061/x
  3. Step 3: Cross multiply
    47,463x = 101,061 × 101,061
  4. Step 4: Simplify right side
    47,463x = 10,213,325,721
  5. Step 5: Solve for x
    x = 10,213,325,721/47,463
  6. Step 6: Final answer
    x = 215,185.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.