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Finding the Third Proportional to 65,731.50 and 95,431.50

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Solution

The third proportional to 65,731.50 and 95,431.50 is: 138,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.50 : 95,431.50 = 95,431.50 : x
  2. Step 2: Convert to fraction form
    65,731.50/95,431.50 = 95,431.50/x
  3. Step 3: Cross multiply
    65,731.50x = 95,431.50 × 95,431.50
  4. Step 4: Simplify right side
    65,731.50x = 9,107,171,192.25
  5. Step 5: Solve for x
    x = 9,107,171,192.25/65,731.50
  6. Step 6: Final answer
    x = 138,551.09

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.