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Finding the Third Proportional to 115,937.25 and 184,425.75

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Solution

The third proportional to 115,937.25 and 184,425.75 is: 293,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,937.25 : 184,425.75 = 184,425.75 : x
  2. Step 2: Convert to fraction form
    115,937.25/184,425.75 = 184,425.75/x
  3. Step 3: Cross multiply
    115,937.25x = 184,425.75 × 184,425.75
  4. Step 4: Simplify right side
    115,937.25x = 34,012,857,263.06
  5. Step 5: Solve for x
    x = 34,012,857,263.06/115,937.25
  6. Step 6: Final answer
    x = 293,372.99

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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.