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Finding the Third Proportional to 101,028 and 151,542

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Solution

The third proportional to 101,028 and 151,542 is: 227,313

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,028 : 151,542 = 151,542 : x
  2. Step 2: Convert to fraction form
    101,028/151,542 = 151,542/x
  3. Step 3: Cross multiply
    101,028x = 151,542 × 151,542
  4. Step 4: Simplify right side
    101,028x = 22,964,977,764
  5. Step 5: Solve for x
    x = 22,964,977,764/101,028
  6. Step 6: Final answer
    x = 227,313

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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.