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Finding the Third Proportional to 123,318.75 and 184,994.63

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Solution

The third proportional to 123,318.75 and 184,994.63 is: 277,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,318.75 : 184,994.63 = 184,994.63 : x
  2. Step 2: Convert to fraction form
    123,318.75/184,994.63 = 184,994.63/x
  3. Step 3: Cross multiply
    123,318.75x = 184,994.63 × 184,994.63
  4. Step 4: Simplify right side
    123,318.75x = 34,223,011,278.89
  5. Step 5: Solve for x
    x = 34,223,011,278.89/123,318.75
  6. Step 6: Final answer
    x = 277,516.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.