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Finding the Third Proportional to 41,205 and 90,429

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Solution

The third proportional to 41,205 and 90,429 is: 198,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205 : 90,429 = 90,429 : x
  2. Step 2: Convert to fraction form
    41,205/90,429 = 90,429/x
  3. Step 3: Cross multiply
    41,205x = 90,429 × 90,429
  4. Step 4: Simplify right side
    41,205x = 8,177,404,041
  5. Step 5: Solve for x
    x = 8,177,404,041/41,205
  6. Step 6: Final answer
    x = 198,456.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.