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Finding the Third Proportional to 75,129.75 and 117,004.50

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Solution

The third proportional to 75,129.75 and 117,004.50 is: 182,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,129.75 : 117,004.50 = 117,004.50 : x
  2. Step 2: Convert to fraction form
    75,129.75/117,004.50 = 117,004.50/x
  3. Step 3: Cross multiply
    75,129.75x = 117,004.50 × 117,004.50
  4. Step 4: Simplify right side
    75,129.75x = 13,690,053,020.25
  5. Step 5: Solve for x
    x = 13,690,053,020.25/75,129.75
  6. Step 6: Final answer
    x = 182,218.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.