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Finding the Third Proportional to 141,180.75 and 212,083.88

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Solution

The third proportional to 141,180.75 and 212,083.88 is: 318,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,180.75 : 212,083.88 = 212,083.88 : x
  2. Step 2: Convert to fraction form
    141,180.75/212,083.88 = 212,083.88/x
  3. Step 3: Cross multiply
    141,180.75x = 212,083.88 × 212,083.88
  4. Step 4: Simplify right side
    141,180.75x = 44,979,570,035.02
  5. Step 5: Solve for x
    x = 44,979,570,035.02/141,180.75
  6. Step 6: Final answer
    x = 318,595.63

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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.