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Finding the Third Proportional to 97,884 and 141,318

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Solution

The third proportional to 97,884 and 141,318 is: 204,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884 : 141,318 = 141,318 : x
  2. Step 2: Convert to fraction form
    97,884/141,318 = 141,318/x
  3. Step 3: Cross multiply
    97,884x = 141,318 × 141,318
  4. Step 4: Simplify right side
    97,884x = 19,970,777,124
  5. Step 5: Solve for x
    x = 19,970,777,124/97,884
  6. Step 6: Final answer
    x = 204,024.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.