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Finding the Third Proportional to 101,437.50 and 146,942.25

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Solution

The third proportional to 101,437.50 and 146,942.25 is: 212,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,437.50 : 146,942.25 = 146,942.25 : x
  2. Step 2: Convert to fraction form
    101,437.50/146,942.25 = 146,942.25/x
  3. Step 3: Cross multiply
    101,437.50x = 146,942.25 × 146,942.25
  4. Step 4: Simplify right side
    101,437.50x = 21,592,024,835.06
  5. Step 5: Solve for x
    x = 21,592,024,835.06/101,437.50
  6. Step 6: Final answer
    x = 212,860.38

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.