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Finding the Third Proportional to 65,729.63 and 143,898

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Solution

The third proportional to 65,729.63 and 143,898 is: 315,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729.63 : 143,898 = 143,898 : x
  2. Step 2: Convert to fraction form
    65,729.63/143,898 = 143,898/x
  3. Step 3: Cross multiply
    65,729.63x = 143,898 × 143,898
  4. Step 4: Simplify right side
    65,729.63x = 20,706,634,404
  5. Step 5: Solve for x
    x = 20,706,634,404/65,729.63
  6. Step 6: Final answer
    x = 315,027.42

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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.