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Finding the Third Proportional to 73,712 and 116,906

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Solution

The third proportional to 73,712 and 116,906 is: 185,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,712 : 116,906 = 116,906 : x
  2. Step 2: Convert to fraction form
    73,712/116,906 = 116,906/x
  3. Step 3: Cross multiply
    73,712x = 116,906 × 116,906
  4. Step 4: Simplify right side
    73,712x = 13,667,012,836
  5. Step 5: Solve for x
    x = 13,667,012,836/73,712
  6. Step 6: Final answer
    x = 185,410.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.