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Finding the Third Proportional to 65,184.75 and 136,414.13

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Solution

The third proportional to 65,184.75 and 136,414.13 is: 285,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184.75 : 136,414.13 = 136,414.13 : x
  2. Step 2: Convert to fraction form
    65,184.75/136,414.13 = 136,414.13/x
  3. Step 3: Cross multiply
    65,184.75x = 136,414.13 × 136,414.13
  4. Step 4: Simplify right side
    65,184.75x = 18,608,813,499.52
  5. Step 5: Solve for x
    x = 18,608,813,499.52/65,184.75
  6. Step 6: Final answer
    x = 285,478.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.