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Finding the Third Proportional to 141,380.75 and 185,823.75

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Solution

The third proportional to 141,380.75 and 185,823.75 is: 244,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,380.75 : 185,823.75 = 185,823.75 : x
  2. Step 2: Convert to fraction form
    141,380.75/185,823.75 = 185,823.75/x
  3. Step 3: Cross multiply
    141,380.75x = 185,823.75 × 185,823.75
  4. Step 4: Simplify right side
    141,380.75x = 34,530,466,064.06
  5. Step 5: Solve for x
    x = 34,530,466,064.06/141,380.75
  6. Step 6: Final answer
    x = 244,237.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.