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Finding the Third Proportional to 92,404 and 134,646

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Solution

The third proportional to 92,404 and 134,646 is: 196,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,404 : 134,646 = 134,646 : x
  2. Step 2: Convert to fraction form
    92,404/134,646 = 134,646/x
  3. Step 3: Cross multiply
    92,404x = 134,646 × 134,646
  4. Step 4: Simplify right side
    92,404x = 18,129,545,316
  5. Step 5: Solve for x
    x = 18,129,545,316/92,404
  6. Step 6: Final answer
    x = 196,198.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.