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Finding the Third Proportional to 65,524.50 and 154,019.25

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Solution

The third proportional to 65,524.50 and 154,019.25 is: 362,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524.50 : 154,019.25 = 154,019.25 : x
  2. Step 2: Convert to fraction form
    65,524.50/154,019.25 = 154,019.25/x
  3. Step 3: Cross multiply
    65,524.50x = 154,019.25 × 154,019.25
  4. Step 4: Simplify right side
    65,524.50x = 23,721,929,370.56
  5. Step 5: Solve for x
    x = 23,721,929,370.56/65,524.50
  6. Step 6: Final answer
    x = 362,031.44

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.