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Finding the Third Proportional to 43,897 and 97,285

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Solution

The third proportional to 43,897 and 97,285 is: 215,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,897 : 97,285 = 97,285 : x
  2. Step 2: Convert to fraction form
    43,897/97,285 = 97,285/x
  3. Step 3: Cross multiply
    43,897x = 97,285 × 97,285
  4. Step 4: Simplify right side
    43,897x = 9,464,371,225
  5. Step 5: Solve for x
    x = 9,464,371,225/43,897
  6. Step 6: Final answer
    x = 215,604.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.