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Finding the Third Proportional to 78,592 and 169,728

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Solution

The third proportional to 78,592 and 169,728 is: 366,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592 : 169,728 = 169,728 : x
  2. Step 2: Convert to fraction form
    78,592/169,728 = 169,728/x
  3. Step 3: Cross multiply
    78,592x = 169,728 × 169,728
  4. Step 4: Simplify right side
    78,592x = 28,807,593,984
  5. Step 5: Solve for x
    x = 28,807,593,984/78,592
  6. Step 6: Final answer
    x = 366,546.14

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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.