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Finding the Third Proportional to 61,314.75 and 131,985.75

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Solution

The third proportional to 61,314.75 and 131,985.75 is: 284,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,314.75 : 131,985.75 = 131,985.75 : x
  2. Step 2: Convert to fraction form
    61,314.75/131,985.75 = 131,985.75/x
  3. Step 3: Cross multiply
    61,314.75x = 131,985.75 × 131,985.75
  4. Step 4: Simplify right side
    61,314.75x = 17,420,238,203.06
  5. Step 5: Solve for x
    x = 17,420,238,203.06/61,314.75
  6. Step 6: Final answer
    x = 284,111.71

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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.