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Finding the Third Proportional to 61,388.16 and 91,704.09

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Solution

The third proportional to 61,388.16 and 91,704.09 is: 136,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,388.16 : 91,704.09 = 91,704.09 : x
  2. Step 2: Convert to fraction form
    61,388.16/91,704.09 = 91,704.09/x
  3. Step 3: Cross multiply
    61,388.16x = 91,704.09 × 91,704.09
  4. Step 4: Simplify right side
    61,388.16x = 8,409,640,810.51
  5. Step 5: Solve for x
    x = 8,409,640,810.51/61,388.16
  6. Step 6: Final answer
    x = 136,991.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.