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Finding the Third Proportional to 49,886 and 109,472

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Solution

The third proportional to 49,886 and 109,472 is: 240,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,886 : 109,472 = 109,472 : x
  2. Step 2: Convert to fraction form
    49,886/109,472 = 109,472/x
  3. Step 3: Cross multiply
    49,886x = 109,472 × 109,472
  4. Step 4: Simplify right side
    49,886x = 11,984,118,784
  5. Step 5: Solve for x
    x = 11,984,118,784/49,886
  6. Step 6: Final answer
    x = 240,230.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.