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Finding the Third Proportional to 115,682 and 174,982

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Solution

The third proportional to 115,682 and 174,982 is: 264,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,682 : 174,982 = 174,982 : x
  2. Step 2: Convert to fraction form
    115,682/174,982 = 174,982/x
  3. Step 3: Cross multiply
    115,682x = 174,982 × 174,982
  4. Step 4: Simplify right side
    115,682x = 30,618,700,324
  5. Step 5: Solve for x
    x = 30,618,700,324/115,682
  6. Step 6: Final answer
    x = 264,679.90

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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.