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Finding the Third Proportional to 75,068.44 and 116,906.63

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Solution

The third proportional to 75,068.44 and 116,906.63 is: 182,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,068.44 : 116,906.63 = 116,906.63 : x
  2. Step 2: Convert to fraction form
    75,068.44/116,906.63 = 116,906.63/x
  3. Step 3: Cross multiply
    75,068.44x = 116,906.63 × 116,906.63
  4. Step 4: Simplify right side
    75,068.44x = 13,667,158,968.89
  5. Step 5: Solve for x
    x = 13,667,158,968.89/75,068.44
  6. Step 6: Final answer
    x = 182,062.65

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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.