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Finding the Third Proportional to 41,805 and 90,428

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Solution

The third proportional to 41,805 and 90,428 is: 195,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805 : 90,428 = 90,428 : x
  2. Step 2: Convert to fraction form
    41,805/90,428 = 90,428/x
  3. Step 3: Cross multiply
    41,805x = 90,428 × 90,428
  4. Step 4: Simplify right side
    41,805x = 8,177,223,184
  5. Step 5: Solve for x
    x = 8,177,223,184/41,805
  6. Step 6: Final answer
    x = 195,603.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.