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Finding the Third Proportional to 97,900 and 141,339

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Solution

The third proportional to 97,900 and 141,339 is: 204,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,900 : 141,339 = 141,339 : x
  2. Step 2: Convert to fraction form
    97,900/141,339 = 141,339/x
  3. Step 3: Cross multiply
    97,900x = 141,339 × 141,339
  4. Step 4: Simplify right side
    97,900x = 19,976,712,921
  5. Step 5: Solve for x
    x = 19,976,712,921/97,900
  6. Step 6: Final answer
    x = 204,052.23

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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.