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Finding the Third Proportional to 115,656 and 169,092

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Solution

The third proportional to 115,656 and 169,092 is: 247,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,656 : 169,092 = 169,092 : x
  2. Step 2: Convert to fraction form
    115,656/169,092 = 169,092/x
  3. Step 3: Cross multiply
    115,656x = 169,092 × 169,092
  4. Step 4: Simplify right side
    115,656x = 28,592,104,464
  5. Step 5: Solve for x
    x = 28,592,104,464/115,656
  6. Step 6: Final answer
    x = 247,216.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.