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Finding the Third Proportional to 41,106 and 90,294

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Solution

The third proportional to 41,106 and 90,294 is: 198,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,106 : 90,294 = 90,294 : x
  2. Step 2: Convert to fraction form
    41,106/90,294 = 90,294/x
  3. Step 3: Cross multiply
    41,106x = 90,294 × 90,294
  4. Step 4: Simplify right side
    41,106x = 8,153,006,436
  5. Step 5: Solve for x
    x = 8,153,006,436/41,106
  6. Step 6: Final answer
    x = 198,341.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.