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Finding the Third Proportional to 47,642 and 107,423

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Solution

The third proportional to 47,642 and 107,423 is: 242,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642 : 107,423 = 107,423 : x
  2. Step 2: Convert to fraction form
    47,642/107,423 = 107,423/x
  3. Step 3: Cross multiply
    47,642x = 107,423 × 107,423
  4. Step 4: Simplify right side
    47,642x = 11,539,700,929
  5. Step 5: Solve for x
    x = 11,539,700,929/47,642
  6. Step 6: Final answer
    x = 242,216.97

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.