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Finding the Third Proportional to 49,472 and 106,354

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Solution

The third proportional to 49,472 and 106,354 is: 228,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472 : 106,354 = 106,354 : x
  2. Step 2: Convert to fraction form
    49,472/106,354 = 106,354/x
  3. Step 3: Cross multiply
    49,472x = 106,354 × 106,354
  4. Step 4: Simplify right side
    49,472x = 11,311,173,316
  5. Step 5: Solve for x
    x = 11,311,173,316/49,472
  6. Step 6: Final answer
    x = 228,637.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.