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Finding the Third Proportional to 78,088 and 171,728

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Solution

The third proportional to 78,088 and 171,728 is: 377,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,088 : 171,728 = 171,728 : x
  2. Step 2: Convert to fraction form
    78,088/171,728 = 171,728/x
  3. Step 3: Cross multiply
    78,088x = 171,728 × 171,728
  4. Step 4: Simplify right side
    78,088x = 29,490,505,984
  5. Step 5: Solve for x
    x = 29,490,505,984/78,088
  6. Step 6: Final answer
    x = 377,657.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.