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Finding the Third Proportional to 65,196.75 and 104,107.88

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Solution

The third proportional to 65,196.75 and 104,107.88 is: 166,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.75 : 104,107.88 = 104,107.88 : x
  2. Step 2: Convert to fraction form
    65,196.75/104,107.88 = 104,107.88/x
  3. Step 3: Cross multiply
    65,196.75x = 104,107.88 × 104,107.88
  4. Step 4: Simplify right side
    65,196.75x = 10,838,449,637.02
  5. Step 5: Solve for x
    x = 10,838,449,637.02/65,196.75
  6. Step 6: Final answer
    x = 166,242.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.