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Finding the Third Proportional to 141,064.50 and 191,367

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Solution

The third proportional to 141,064.50 and 191,367 is: 259,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,064.50 : 191,367 = 191,367 : x
  2. Step 2: Convert to fraction form
    141,064.50/191,367 = 191,367/x
  3. Step 3: Cross multiply
    141,064.50x = 191,367 × 191,367
  4. Step 4: Simplify right side
    141,064.50x = 36,621,328,689
  5. Step 5: Solve for x
    x = 36,621,328,689/141,064.50
  6. Step 6: Final answer
    x = 259,606.98

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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.