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Finding the Third Proportional to 86,297.25 and 116,593.50

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Solution

The third proportional to 86,297.25 and 116,593.50 is: 157,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,297.25 : 116,593.50 = 116,593.50 : x
  2. Step 2: Convert to fraction form
    86,297.25/116,593.50 = 116,593.50/x
  3. Step 3: Cross multiply
    86,297.25x = 116,593.50 × 116,593.50
  4. Step 4: Simplify right side
    86,297.25x = 13,594,044,242.25
  5. Step 5: Solve for x
    x = 13,594,044,242.25/86,297.25
  6. Step 6: Final answer
    x = 157,525.81

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.