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Finding the Third Proportional to 65,007.75 and 103,433.25

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Solution

The third proportional to 65,007.75 and 103,433.25 is: 164,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007.75 : 103,433.25 = 103,433.25 : x
  2. Step 2: Convert to fraction form
    65,007.75/103,433.25 = 103,433.25/x
  3. Step 3: Cross multiply
    65,007.75x = 103,433.25 × 103,433.25
  4. Step 4: Simplify right side
    65,007.75x = 10,698,437,205.56
  5. Step 5: Solve for x
    x = 10,698,437,205.56/65,007.75
  6. Step 6: Final answer
    x = 164,571.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.