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Finding the Third Proportional to 61,178.25 and 86,153.25

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Solution

The third proportional to 61,178.25 and 86,153.25 is: 121,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178.25 : 86,153.25 = 86,153.25 : x
  2. Step 2: Convert to fraction form
    61,178.25/86,153.25 = 86,153.25/x
  3. Step 3: Cross multiply
    61,178.25x = 86,153.25 × 86,153.25
  4. Step 4: Simplify right side
    61,178.25x = 7,422,382,485.56
  5. Step 5: Solve for x
    x = 7,422,382,485.56/61,178.25
  6. Step 6: Final answer
    x = 121,323.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.