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Finding the Third Proportional to 72,810 and 109,728

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Solution

The third proportional to 72,810 and 109,728 is: 165,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,810 : 109,728 = 109,728 : x
  2. Step 2: Convert to fraction form
    72,810/109,728 = 109,728/x
  3. Step 3: Cross multiply
    72,810x = 109,728 × 109,728
  4. Step 4: Simplify right side
    72,810x = 12,040,233,984
  5. Step 5: Solve for x
    x = 12,040,233,984/72,810
  6. Step 6: Final answer
    x = 165,365.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.