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Finding the Third Proportional to 101,202.50 and 151,243.50

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Solution

The third proportional to 101,202.50 and 151,243.50 is: 226,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,202.50 : 151,243.50 = 151,243.50 : x
  2. Step 2: Convert to fraction form
    101,202.50/151,243.50 = 151,243.50/x
  3. Step 3: Cross multiply
    101,202.50x = 151,243.50 × 151,243.50
  4. Step 4: Simplify right side
    101,202.50x = 22,874,596,292.25
  5. Step 5: Solve for x
    x = 22,874,596,292.25/101,202.50
  6. Step 6: Final answer
    x = 226,027.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.