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Finding the Third Proportional to 56,378 and 78,819

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Solution

The third proportional to 56,378 and 78,819 is: 110,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,378 : 78,819 = 78,819 : x
  2. Step 2: Convert to fraction form
    56,378/78,819 = 78,819/x
  3. Step 3: Cross multiply
    56,378x = 78,819 × 78,819
  4. Step 4: Simplify right side
    56,378x = 6,212,434,761
  5. Step 5: Solve for x
    x = 6,212,434,761/56,378
  6. Step 6: Final answer
    x = 110,192.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.