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Finding the Third Proportional to 94,198 and 141,507

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Solution

The third proportional to 94,198 and 141,507 is: 212,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,198 : 141,507 = 141,507 : x
  2. Step 2: Convert to fraction form
    94,198/141,507 = 141,507/x
  3. Step 3: Cross multiply
    94,198x = 141,507 × 141,507
  4. Step 4: Simplify right side
    94,198x = 20,024,231,049
  5. Step 5: Solve for x
    x = 20,024,231,049/94,198
  6. Step 6: Final answer
    x = 212,575.97

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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.