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Finding the Third Proportional to 45,709 and 101,921

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Solution

The third proportional to 45,709 and 101,921 is: 227,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,709 : 101,921 = 101,921 : x
  2. Step 2: Convert to fraction form
    45,709/101,921 = 101,921/x
  3. Step 3: Cross multiply
    45,709x = 101,921 × 101,921
  4. Step 4: Simplify right side
    45,709x = 10,387,890,241
  5. Step 5: Solve for x
    x = 10,387,890,241/45,709
  6. Step 6: Final answer
    x = 227,261.38

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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.