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Finding the Third Proportional to 124,579.50 and 186,835.50

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Solution

The third proportional to 124,579.50 and 186,835.50 is: 280,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,579.50 : 186,835.50 = 186,835.50 : x
  2. Step 2: Convert to fraction form
    124,579.50/186,835.50 = 186,835.50/x
  3. Step 3: Cross multiply
    124,579.50x = 186,835.50 × 186,835.50
  4. Step 4: Simplify right side
    124,579.50x = 34,907,504,060.25
  5. Step 5: Solve for x
    x = 34,907,504,060.25/124,579.50
  6. Step 6: Final answer
    x = 280,202.63

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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.