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Finding the Third Proportional to 65,823.75 and 99,317.25

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Solution

The third proportional to 65,823.75 and 99,317.25 is: 149,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823.75 : 99,317.25 = 99,317.25 : x
  2. Step 2: Convert to fraction form
    65,823.75/99,317.25 = 99,317.25/x
  3. Step 3: Cross multiply
    65,823.75x = 99,317.25 × 99,317.25
  4. Step 4: Simplify right side
    65,823.75x = 9,863,916,147.56
  5. Step 5: Solve for x
    x = 9,863,916,147.56/65,823.75
  6. Step 6: Final answer
    x = 149,853.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.