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Finding the Third Proportional to 63,143.25 and 136,301.69

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Solution

The third proportional to 63,143.25 and 136,301.69 is: 294,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,143.25 : 136,301.69 = 136,301.69 : x
  2. Step 2: Convert to fraction form
    63,143.25/136,301.69 = 136,301.69/x
  3. Step 3: Cross multiply
    63,143.25x = 136,301.69 × 136,301.69
  4. Step 4: Simplify right side
    63,143.25x = 18,578,150,015.35
  5. Step 5: Solve for x
    x = 18,578,150,015.35/63,143.25
  6. Step 6: Final answer
    x = 294,222.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.