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Finding the Third Proportional to 119,087.50 and 184,313.50

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Solution

The third proportional to 119,087.50 and 184,313.50 is: 285,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,087.50 : 184,313.50 = 184,313.50 : x
  2. Step 2: Convert to fraction form
    119,087.50/184,313.50 = 184,313.50/x
  3. Step 3: Cross multiply
    119,087.50x = 184,313.50 × 184,313.50
  4. Step 4: Simplify right side
    119,087.50x = 33,971,466,282.25
  5. Step 5: Solve for x
    x = 33,971,466,282.25/119,087.50
  6. Step 6: Final answer
    x = 285,264.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.