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Finding the Third Proportional to 106,426 and 160,422

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Solution

The third proportional to 106,426 and 160,422 is: 241,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,426 : 160,422 = 160,422 : x
  2. Step 2: Convert to fraction form
    106,426/160,422 = 160,422/x
  3. Step 3: Cross multiply
    106,426x = 160,422 × 160,422
  4. Step 4: Simplify right side
    106,426x = 25,735,218,084
  5. Step 5: Solve for x
    x = 25,735,218,084/106,426
  6. Step 6: Final answer
    x = 241,813.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.