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Finding the Third Proportional to 96,942 and 209,160

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Solution

The third proportional to 96,942 and 209,160 is: 451,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,942 : 209,160 = 209,160 : x
  2. Step 2: Convert to fraction form
    96,942/209,160 = 209,160/x
  3. Step 3: Cross multiply
    96,942x = 209,160 × 209,160
  4. Step 4: Simplify right side
    96,942x = 43,747,905,600
  5. Step 5: Solve for x
    x = 43,747,905,600/96,942
  6. Step 6: Final answer
    x = 451,279.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.