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Finding the Third Proportional to 45,877 and 97,267

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Solution

The third proportional to 45,877 and 97,267 is: 206,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,877 : 97,267 = 97,267 : x
  2. Step 2: Convert to fraction form
    45,877/97,267 = 97,267/x
  3. Step 3: Cross multiply
    45,877x = 97,267 × 97,267
  4. Step 4: Simplify right side
    45,877x = 9,460,869,289
  5. Step 5: Solve for x
    x = 9,460,869,289/45,877
  6. Step 6: Final answer
    x = 206,222.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.