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Finding the Third Proportional to 65,109.75 and 86,455.88

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Solution

The third proportional to 65,109.75 and 86,455.88 is: 114,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109.75 : 86,455.88 = 86,455.88 : x
  2. Step 2: Convert to fraction form
    65,109.75/86,455.88 = 86,455.88/x
  3. Step 3: Cross multiply
    65,109.75x = 86,455.88 × 86,455.88
  4. Step 4: Simplify right side
    65,109.75x = 7,474,618,322.02
  5. Step 5: Solve for x
    x = 7,474,618,322.02/65,109.75
  6. Step 6: Final answer
    x = 114,800.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.