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Finding the Third Proportional to 91,656 and 192,537

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Solution

The third proportional to 91,656 and 192,537 is: 404,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,656 : 192,537 = 192,537 : x
  2. Step 2: Convert to fraction form
    91,656/192,537 = 192,537/x
  3. Step 3: Cross multiply
    91,656x = 192,537 × 192,537
  4. Step 4: Simplify right side
    91,656x = 37,070,496,369
  5. Step 5: Solve for x
    x = 37,070,496,369/91,656
  6. Step 6: Final answer
    x = 404,452.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.