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Finding the Third Proportional to 41,389 and 92,146

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Solution

The third proportional to 41,389 and 92,146 is: 205,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,389 : 92,146 = 92,146 : x
  2. Step 2: Convert to fraction form
    41,389/92,146 = 92,146/x
  3. Step 3: Cross multiply
    41,389x = 92,146 × 92,146
  4. Step 4: Simplify right side
    41,389x = 8,490,885,316
  5. Step 5: Solve for x
    x = 8,490,885,316/41,389
  6. Step 6: Final answer
    x = 205,148.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.