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Finding the Third Proportional to 65,647.50 and 101,843.25

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Solution

The third proportional to 65,647.50 and 101,843.25 is: 157,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647.50 : 101,843.25 = 101,843.25 : x
  2. Step 2: Convert to fraction form
    65,647.50/101,843.25 = 101,843.25/x
  3. Step 3: Cross multiply
    65,647.50x = 101,843.25 × 101,843.25
  4. Step 4: Simplify right side
    65,647.50x = 10,372,047,570.56
  5. Step 5: Solve for x
    x = 10,372,047,570.56/65,647.50
  6. Step 6: Final answer
    x = 157,996.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.