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Finding the Third Proportional to 92,024 and 129,556

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Solution

The third proportional to 92,024 and 129,556 is: 182,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,024 : 129,556 = 129,556 : x
  2. Step 2: Convert to fraction form
    92,024/129,556 = 129,556/x
  3. Step 3: Cross multiply
    92,024x = 129,556 × 129,556
  4. Step 4: Simplify right side
    92,024x = 16,784,757,136
  5. Step 5: Solve for x
    x = 16,784,757,136/92,024
  6. Step 6: Final answer
    x = 182,395.43

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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.