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Finding the Third Proportional to 65,622.75 and 143,274

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Solution

The third proportional to 65,622.75 and 143,274 is: 312,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,622.75 : 143,274 = 143,274 : x
  2. Step 2: Convert to fraction form
    65,622.75/143,274 = 143,274/x
  3. Step 3: Cross multiply
    65,622.75x = 143,274 × 143,274
  4. Step 4: Simplify right side
    65,622.75x = 20,527,439,076
  5. Step 5: Solve for x
    x = 20,527,439,076/65,622.75
  6. Step 6: Final answer
    x = 312,809.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.