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Finding the Third Proportional to 65,199.94 and 86,113.13

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Solution

The third proportional to 65,199.94 and 86,113.13 is: 113,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.94 : 86,113.13 = 86,113.13 : x
  2. Step 2: Convert to fraction form
    65,199.94/86,113.13 = 86,113.13/x
  3. Step 3: Cross multiply
    65,199.94x = 86,113.13 × 86,113.13
  4. Step 4: Simplify right side
    65,199.94x = 7,415,470,297.27
  5. Step 5: Solve for x
    x = 7,415,470,297.27/65,199.94
  6. Step 6: Final answer
    x = 113,734.32

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Why These Related Problems?

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