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Finding the Third Proportional to 122,241.97 and 186,995.14

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Solution

The third proportional to 122,241.97 and 186,995.14 is: 286,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,241.97 : 186,995.14 = 186,995.14 : x
  2. Step 2: Convert to fraction form
    122,241.97/186,995.14 = 186,995.14/x
  3. Step 3: Cross multiply
    122,241.97x = 186,995.14 × 186,995.14
  4. Step 4: Simplify right side
    122,241.97x = 34,967,184,078.26
  5. Step 5: Solve for x
    x = 34,967,184,078.26/122,241.97
  6. Step 6: Final answer
    x = 286,048.92

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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.