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Finding the Third Proportional to 115,840.13 and 174,988.69

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Solution

The third proportional to 115,840.13 and 174,988.69 is: 264,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,840.13 : 174,988.69 = 174,988.69 : x
  2. Step 2: Convert to fraction form
    115,840.13/174,988.69 = 174,988.69/x
  3. Step 3: Cross multiply
    115,840.13x = 174,988.69 × 174,988.69
  4. Step 4: Simplify right side
    115,840.13x = 30,621,040,752.97
  5. Step 5: Solve for x
    x = 30,621,040,752.97/115,840.13
  6. Step 6: Final answer
    x = 264,338.81

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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.