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Finding the Third Proportional to 45,706 and 101,915

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Solution

The third proportional to 45,706 and 101,915 is: 227,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,706 : 101,915 = 101,915 : x
  2. Step 2: Convert to fraction form
    45,706/101,915 = 101,915/x
  3. Step 3: Cross multiply
    45,706x = 101,915 × 101,915
  4. Step 4: Simplify right side
    45,706x = 10,386,667,225
  5. Step 5: Solve for x
    x = 10,386,667,225/45,706
  6. Step 6: Final answer
    x = 227,249.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.