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Finding the Third Proportional to 113,896.13 and 174,291.75

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Solution

The third proportional to 113,896.13 and 174,291.75 is: 266,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,896.13 : 174,291.75 = 174,291.75 : x
  2. Step 2: Convert to fraction form
    113,896.13/174,291.75 = 174,291.75/x
  3. Step 3: Cross multiply
    113,896.13x = 174,291.75 × 174,291.75
  4. Step 4: Simplify right side
    113,896.13x = 30,377,614,118.06
  5. Step 5: Solve for x
    x = 30,377,614,118.06/113,896.13
  6. Step 6: Final answer
    x = 266,713.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.