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Finding the Third Proportional to 101,249 and 151,315

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Solution

The third proportional to 101,249 and 151,315 is: 226,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,249 : 151,315 = 151,315 : x
  2. Step 2: Convert to fraction form
    101,249/151,315 = 151,315/x
  3. Step 3: Cross multiply
    101,249x = 151,315 × 151,315
  4. Step 4: Simplify right side
    101,249x = 22,896,229,225
  5. Step 5: Solve for x
    x = 22,896,229,225/101,249
  6. Step 6: Final answer
    x = 226,137.83

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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.