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Finding the Third Proportional to 49,473 and 77,247

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Solution

The third proportional to 49,473 and 77,247 is: 120,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,473 : 77,247 = 77,247 : x
  2. Step 2: Convert to fraction form
    49,473/77,247 = 77,247/x
  3. Step 3: Cross multiply
    49,473x = 77,247 × 77,247
  4. Step 4: Simplify right side
    49,473x = 5,967,099,009
  5. Step 5: Solve for x
    x = 5,967,099,009/49,473
  6. Step 6: Final answer
    x = 120,613.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.