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Finding the Third Proportional to 141,076.50 and 191,385

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Solution

The third proportional to 141,076.50 and 191,385 is: 259,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,076.50 : 191,385 = 191,385 : x
  2. Step 2: Convert to fraction form
    141,076.50/191,385 = 191,385/x
  3. Step 3: Cross multiply
    141,076.50x = 191,385 × 191,385
  4. Step 4: Simplify right side
    141,076.50x = 36,628,218,225
  5. Step 5: Solve for x
    x = 36,628,218,225/141,076.50
  6. Step 6: Final answer
    x = 259,633.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.