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Finding the Third Proportional to 61,264.13 and 131,914.13

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Solution

The third proportional to 61,264.13 and 131,914.13 is: 284,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,264.13 : 131,914.13 = 131,914.13 : x
  2. Step 2: Convert to fraction form
    61,264.13/131,914.13 = 131,914.13/x
  3. Step 3: Cross multiply
    61,264.13x = 131,914.13 × 131,914.13
  4. Step 4: Simplify right side
    61,264.13x = 17,401,336,374.52
  5. Step 5: Solve for x
    x = 17,401,336,374.52/61,264.13
  6. Step 6: Final answer
    x = 284,037.95

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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.