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Finding the Third Proportional to 58,378 and 83,193

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Solution

The third proportional to 58,378 and 83,193 is: 118,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,378 : 83,193 = 83,193 : x
  2. Step 2: Convert to fraction form
    58,378/83,193 = 83,193/x
  3. Step 3: Cross multiply
    58,378x = 83,193 × 83,193
  4. Step 4: Simplify right side
    58,378x = 6,921,075,249
  5. Step 5: Solve for x
    x = 6,921,075,249/58,378
  6. Step 6: Final answer
    x = 118,556.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.