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Finding the Third Proportional to 65,484 and 143,826.75

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Solution

The third proportional to 65,484 and 143,826.75 is: 315,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,484 : 143,826.75 = 143,826.75 : x
  2. Step 2: Convert to fraction form
    65,484/143,826.75 = 143,826.75/x
  3. Step 3: Cross multiply
    65,484x = 143,826.75 × 143,826.75
  4. Step 4: Simplify right side
    65,484x = 20,686,134,015.56
  5. Step 5: Solve for x
    x = 20,686,134,015.56/65,484
  6. Step 6: Final answer
    x = 315,896.01

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