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Finding the Third Proportional to 76,268.25 and 115,387.88

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Solution

The third proportional to 76,268.25 and 115,387.88 is: 174,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,268.25 : 115,387.88 = 115,387.88 : x
  2. Step 2: Convert to fraction form
    76,268.25/115,387.88 = 115,387.88/x
  3. Step 3: Cross multiply
    76,268.25x = 115,387.88 × 115,387.88
  4. Step 4: Simplify right side
    76,268.25x = 13,314,361,697.02
  5. Step 5: Solve for x
    x = 13,314,361,697.02/76,268.25
  6. Step 6: Final answer
    x = 174,572.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.