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Finding the Third Proportional to 101,020 and 151,530

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Solution

The third proportional to 101,020 and 151,530 is: 227,295

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,020 : 151,530 = 151,530 : x
  2. Step 2: Convert to fraction form
    101,020/151,530 = 151,530/x
  3. Step 3: Cross multiply
    101,020x = 151,530 × 151,530
  4. Step 4: Simplify right side
    101,020x = 22,961,340,900
  5. Step 5: Solve for x
    x = 22,961,340,900/101,020
  6. Step 6: Final answer
    x = 227,295

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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.