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Finding the Third Proportional to 101,236 and 151,033

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Solution

The third proportional to 101,236 and 151,033 is: 225,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,236 : 151,033 = 151,033 : x
  2. Step 2: Convert to fraction form
    101,236/151,033 = 151,033/x
  3. Step 3: Cross multiply
    101,236x = 151,033 × 151,033
  4. Step 4: Simplify right side
    101,236x = 22,810,967,089
  5. Step 5: Solve for x
    x = 22,810,967,089/101,236
  6. Step 6: Final answer
    x = 225,324.66

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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.