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Finding the Third Proportional to 75,101.63 and 116,960.63

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Solution

The third proportional to 75,101.63 and 116,960.63 is: 182,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.63 : 116,960.63 = 116,960.63 : x
  2. Step 2: Convert to fraction form
    75,101.63/116,960.63 = 116,960.63/x
  3. Step 3: Cross multiply
    75,101.63x = 116,960.63 × 116,960.63
  4. Step 4: Simplify right side
    75,101.63x = 13,679,787,800.39
  5. Step 5: Solve for x
    x = 13,679,787,800.39/75,101.63
  6. Step 6: Final answer
    x = 182,150.36

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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.