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Finding the Third Proportional to 141,064 and 191,500

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Solution

The third proportional to 141,064 and 191,500 is: 259,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,064 : 191,500 = 191,500 : x
  2. Step 2: Convert to fraction form
    141,064/191,500 = 191,500/x
  3. Step 3: Cross multiply
    141,064x = 191,500 × 191,500
  4. Step 4: Simplify right side
    141,064x = 36,672,250,000
  5. Step 5: Solve for x
    x = 36,672,250,000/141,064
  6. Step 6: Final answer
    x = 259,968.88

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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.