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Finding the Third Proportional to 65,548.50 and 143,001

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Solution

The third proportional to 65,548.50 and 143,001 is: 311,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,548.50 : 143,001 = 143,001 : x
  2. Step 2: Convert to fraction form
    65,548.50/143,001 = 143,001/x
  3. Step 3: Cross multiply
    65,548.50x = 143,001 × 143,001
  4. Step 4: Simplify right side
    65,548.50x = 20,449,286,001
  5. Step 5: Solve for x
    x = 20,449,286,001/65,548.50
  6. Step 6: Final answer
    x = 311,971.84

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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.