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Finding the Third Proportional to 106,562 and 216,792

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Solution

The third proportional to 106,562 and 216,792 is: 441,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562 : 216,792 = 216,792 : x
  2. Step 2: Convert to fraction form
    106,562/216,792 = 216,792/x
  3. Step 3: Cross multiply
    106,562x = 216,792 × 216,792
  4. Step 4: Simplify right side
    106,562x = 46,998,771,264
  5. Step 5: Solve for x
    x = 46,998,771,264/106,562
  6. Step 6: Final answer
    x = 441,046.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.