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Finding the Third Proportional to 106,394 and 161,895

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Solution

The third proportional to 106,394 and 161,895 is: 246,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,394 : 161,895 = 161,895 : x
  2. Step 2: Convert to fraction form
    106,394/161,895 = 161,895/x
  3. Step 3: Cross multiply
    106,394x = 161,895 × 161,895
  4. Step 4: Simplify right side
    106,394x = 26,209,991,025
  5. Step 5: Solve for x
    x = 26,209,991,025/106,394
  6. Step 6: Final answer
    x = 246,348.39

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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.