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Finding the Third Proportional to 66,902 and 91,739.75

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Solution

The third proportional to 66,902 and 91,739.75 is: 125,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,902 : 91,739.75 = 91,739.75 : x
  2. Step 2: Convert to fraction form
    66,902/91,739.75 = 91,739.75/x
  3. Step 3: Cross multiply
    66,902x = 91,739.75 × 91,739.75
  4. Step 4: Simplify right side
    66,902x = 8,416,181,730.06
  5. Step 5: Solve for x
    x = 8,416,181,730.06/66,902
  6. Step 6: Final answer
    x = 125,798.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.