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Finding the Third Proportional to 49,789 and 109,423

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Solution

The third proportional to 49,789 and 109,423 is: 240,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,789 : 109,423 = 109,423 : x
  2. Step 2: Convert to fraction form
    49,789/109,423 = 109,423/x
  3. Step 3: Cross multiply
    49,789x = 109,423 × 109,423
  4. Step 4: Simplify right side
    49,789x = 11,973,392,929
  5. Step 5: Solve for x
    x = 11,973,392,929/49,789
  6. Step 6: Final answer
    x = 240,482.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.