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Finding the Third Proportional to 116,982.50 and 174,693

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Solution

The third proportional to 116,982.50 and 174,693 is: 260,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,982.50 : 174,693 = 174,693 : x
  2. Step 2: Convert to fraction form
    116,982.50/174,693 = 174,693/x
  3. Step 3: Cross multiply
    116,982.50x = 174,693 × 174,693
  4. Step 4: Simplify right side
    116,982.50x = 30,517,644,249
  5. Step 5: Solve for x
    x = 30,517,644,249/116,982.50
  6. Step 6: Final answer
    x = 260,873.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.