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Finding the Third Proportional to 78,840 and 169,992

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Solution

The third proportional to 78,840 and 169,992 is: 366,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 169,992 = 169,992 : x
  2. Step 2: Convert to fraction form
    78,840/169,992 = 169,992/x
  3. Step 3: Cross multiply
    78,840x = 169,992 × 169,992
  4. Step 4: Simplify right side
    78,840x = 28,897,280,064
  5. Step 5: Solve for x
    x = 28,897,280,064/78,840
  6. Step 6: Final answer
    x = 366,530.70

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