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Finding the Third Proportional to 101,502 and 151,848

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Solution

The third proportional to 101,502 and 151,848 is: 227,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,502 : 151,848 = 151,848 : x
  2. Step 2: Convert to fraction form
    101,502/151,848 = 151,848/x
  3. Step 3: Cross multiply
    101,502x = 151,848 × 151,848
  4. Step 4: Simplify right side
    101,502x = 23,057,815,104
  5. Step 5: Solve for x
    x = 23,057,815,104/101,502
  6. Step 6: Final answer
    x = 227,166.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.