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Finding the Third Proportional to 94,191 and 141,288

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Solution

The third proportional to 94,191 and 141,288 is: 211,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,191 : 141,288 = 141,288 : x
  2. Step 2: Convert to fraction form
    94,191/141,288 = 141,288/x
  3. Step 3: Cross multiply
    94,191x = 141,288 × 141,288
  4. Step 4: Simplify right side
    94,191x = 19,962,298,944
  5. Step 5: Solve for x
    x = 19,962,298,944/94,191
  6. Step 6: Final answer
    x = 211,934.25

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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.