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Finding the Third Proportional to 61,242 and 131,567

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Solution

The third proportional to 61,242 and 131,567 is: 282,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,242 : 131,567 = 131,567 : x
  2. Step 2: Convert to fraction form
    61,242/131,567 = 131,567/x
  3. Step 3: Cross multiply
    61,242x = 131,567 × 131,567
  4. Step 4: Simplify right side
    61,242x = 17,309,875,489
  5. Step 5: Solve for x
    x = 17,309,875,489/61,242
  6. Step 6: Final answer
    x = 282,647.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.