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Finding the Third Proportional to 133,733.53 and 182,143.69

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Solution

The third proportional to 133,733.53 and 182,143.69 is: 248,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,733.53 : 182,143.69 = 182,143.69 : x
  2. Step 2: Convert to fraction form
    133,733.53/182,143.69 = 182,143.69/x
  3. Step 3: Cross multiply
    133,733.53x = 182,143.69 × 182,143.69
  4. Step 4: Simplify right side
    133,733.53x = 33,176,322,896.10
  5. Step 5: Solve for x
    x = 33,176,322,896.10/133,733.53
  6. Step 6: Final answer
    x = 248,077.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.