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Finding the Third Proportional to 49,206 and 75,654

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Solution

The third proportional to 49,206 and 75,654 is: 116,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206 : 75,654 = 75,654 : x
  2. Step 2: Convert to fraction form
    49,206/75,654 = 75,654/x
  3. Step 3: Cross multiply
    49,206x = 75,654 × 75,654
  4. Step 4: Simplify right side
    49,206x = 5,723,527,716
  5. Step 5: Solve for x
    x = 5,723,527,716/49,206
  6. Step 6: Final answer
    x = 116,317.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.