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Finding the Third Proportional to 101,754.25 and 149,583.13

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Solution

The third proportional to 101,754.25 and 149,583.13 is: 219,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,754.25 : 149,583.13 = 149,583.13 : x
  2. Step 2: Convert to fraction form
    101,754.25/149,583.13 = 149,583.13/x
  3. Step 3: Cross multiply
    101,754.25x = 149,583.13 × 149,583.13
  4. Step 4: Simplify right side
    101,754.25x = 22,375,111,284.77
  5. Step 5: Solve for x
    x = 22,375,111,284.77/101,754.25
  6. Step 6: Final answer
    x = 219,893.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.