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Finding the Third Proportional to 61,185.75 and 86,164.13

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Solution

The third proportional to 61,185.75 and 86,164.13 is: 121,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,185.75 : 86,164.13 = 86,164.13 : x
  2. Step 2: Convert to fraction form
    61,185.75/86,164.13 = 86,164.13/x
  3. Step 3: Cross multiply
    61,185.75x = 86,164.13 × 86,164.13
  4. Step 4: Simplify right side
    61,185.75x = 7,424,256,437.02
  5. Step 5: Solve for x
    x = 7,424,256,437.02/61,185.75
  6. Step 6: Final answer
    x = 121,339.63

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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.