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Finding the Third Proportional to 106,641 and 162,265

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Solution

The third proportional to 106,641 and 162,265 is: 246,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,641 : 162,265 = 162,265 : x
  2. Step 2: Convert to fraction form
    106,641/162,265 = 162,265/x
  3. Step 3: Cross multiply
    106,641x = 162,265 × 162,265
  4. Step 4: Simplify right side
    106,641x = 26,329,930,225
  5. Step 5: Solve for x
    x = 26,329,930,225/106,641
  6. Step 6: Final answer
    x = 246,902.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.