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Finding the Third Proportional to 64,687.36 and 86,301.07

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Solution

The third proportional to 64,687.36 and 86,301.07 is: 115,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,687.36 : 86,301.07 = 86,301.07 : x
  2. Step 2: Convert to fraction form
    64,687.36/86,301.07 = 86,301.07/x
  3. Step 3: Cross multiply
    64,687.36x = 86,301.07 × 86,301.07
  4. Step 4: Simplify right side
    64,687.36x = 7,447,874,737.08
  5. Step 5: Solve for x
    x = 7,447,874,737.08/64,687.36
  6. Step 6: Final answer
    x = 115,136.48

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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.