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Finding the Third Proportional to 65,728.97 and 143,896.50

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Solution

The third proportional to 65,728.97 and 143,896.50 is: 315,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728.97 : 143,896.50 = 143,896.50 : x
  2. Step 2: Convert to fraction form
    65,728.97/143,896.50 = 143,896.50/x
  3. Step 3: Cross multiply
    65,728.97x = 143,896.50 × 143,896.50
  4. Step 4: Simplify right side
    65,728.97x = 20,706,202,712.25
  5. Step 5: Solve for x
    x = 20,706,202,712.25/65,728.97
  6. Step 6: Final answer
    x = 315,024.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.