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Finding the Third Proportional to 65,687.63 and 136,046.25

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Solution

The third proportional to 65,687.63 and 136,046.25 is: 281,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,687.63 : 136,046.25 = 136,046.25 : x
  2. Step 2: Convert to fraction form
    65,687.63/136,046.25 = 136,046.25/x
  3. Step 3: Cross multiply
    65,687.63x = 136,046.25 × 136,046.25
  4. Step 4: Simplify right side
    65,687.63x = 18,508,582,139.06
  5. Step 5: Solve for x
    x = 18,508,582,139.06/65,687.63
  6. Step 6: Final answer
    x = 281,766.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.