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Finding the Third Proportional to 78,942 and 169,116

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Solution

The third proportional to 78,942 and 169,116 is: 362,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,942 : 169,116 = 169,116 : x
  2. Step 2: Convert to fraction form
    78,942/169,116 = 169,116/x
  3. Step 3: Cross multiply
    78,942x = 169,116 × 169,116
  4. Step 4: Simplify right side
    78,942x = 28,600,221,456
  5. Step 5: Solve for x
    x = 28,600,221,456/78,942
  6. Step 6: Final answer
    x = 362,294.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.