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Finding the Third Proportional to 56,276 and 79,174

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Solution

The third proportional to 56,276 and 79,174 is: 111,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,276 : 79,174 = 79,174 : x
  2. Step 2: Convert to fraction form
    56,276/79,174 = 79,174/x
  3. Step 3: Cross multiply
    56,276x = 79,174 × 79,174
  4. Step 4: Simplify right side
    56,276x = 6,268,522,276
  5. Step 5: Solve for x
    x = 6,268,522,276/56,276
  6. Step 6: Final answer
    x = 111,388.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.