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Finding the Third Proportional to 121,333.50 and 186,232.50

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Solution

The third proportional to 121,333.50 and 186,232.50 is: 285,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,333.50 : 186,232.50 = 186,232.50 : x
  2. Step 2: Convert to fraction form
    121,333.50/186,232.50 = 186,232.50/x
  3. Step 3: Cross multiply
    121,333.50x = 186,232.50 × 186,232.50
  4. Step 4: Simplify right side
    121,333.50x = 34,682,544,056.25
  5. Step 5: Solve for x
    x = 34,682,544,056.25/121,333.50
  6. Step 6: Final answer
    x = 285,844.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.