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Finding the Third Proportional to 101,603.25 and 158,222.25

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Solution

The third proportional to 101,603.25 and 158,222.25 is: 246,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,603.25 : 158,222.25 = 158,222.25 : x
  2. Step 2: Convert to fraction form
    101,603.25/158,222.25 = 158,222.25/x
  3. Step 3: Cross multiply
    101,603.25x = 158,222.25 × 158,222.25
  4. Step 4: Simplify right side
    101,603.25x = 25,034,280,395.06
  5. Step 5: Solve for x
    x = 25,034,280,395.06/101,603.25
  6. Step 6: Final answer
    x = 246,392.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.