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Finding the Third Proportional to 65,535.75 and 141,507

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Solution

The third proportional to 65,535.75 and 141,507 is: 305,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,535.75 : 141,507 = 141,507 : x
  2. Step 2: Convert to fraction form
    65,535.75/141,507 = 141,507/x
  3. Step 3: Cross multiply
    65,535.75x = 141,507 × 141,507
  4. Step 4: Simplify right side
    65,535.75x = 20,024,231,049
  5. Step 5: Solve for x
    x = 20,024,231,049/65,535.75
  6. Step 6: Final answer
    x = 305,546.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.