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Finding the Third Proportional to 78,164 and 159,092

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Solution

The third proportional to 78,164 and 159,092 is: 323,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,164 : 159,092 = 159,092 : x
  2. Step 2: Convert to fraction form
    78,164/159,092 = 159,092/x
  3. Step 3: Cross multiply
    78,164x = 159,092 × 159,092
  4. Step 4: Simplify right side
    78,164x = 25,310,264,464
  5. Step 5: Solve for x
    x = 25,310,264,464/78,164
  6. Step 6: Final answer
    x = 323,809.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.