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Finding the Third Proportional to 65,200.88 and 86,114.25

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Solution

The third proportional to 65,200.88 and 86,114.25 is: 113,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.88 : 86,114.25 = 86,114.25 : x
  2. Step 2: Convert to fraction form
    65,200.88/86,114.25 = 86,114.25/x
  3. Step 3: Cross multiply
    65,200.88x = 86,114.25 × 86,114.25
  4. Step 4: Simplify right side
    65,200.88x = 7,415,664,053.06
  5. Step 5: Solve for x
    x = 7,415,664,053.06/65,200.88
  6. Step 6: Final answer
    x = 113,735.65

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.