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Finding the Third Proportional to 141,922.50 and 212,904.75

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Solution

The third proportional to 141,922.50 and 212,904.75 is: 319,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,922.50 : 212,904.75 = 212,904.75 : x
  2. Step 2: Convert to fraction form
    141,922.50/212,904.75 = 212,904.75/x
  3. Step 3: Cross multiply
    141,922.50x = 212,904.75 × 212,904.75
  4. Step 4: Simplify right side
    141,922.50x = 45,328,432,572.56
  5. Step 5: Solve for x
    x = 45,328,432,572.56/141,922.50
  6. Step 6: Final answer
    x = 319,388.63

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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.