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Finding the Third Proportional to 94,190 and 141,287

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Solution

The third proportional to 94,190 and 141,287 is: 211,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,190 : 141,287 = 141,287 : x
  2. Step 2: Convert to fraction form
    94,190/141,287 = 141,287/x
  3. Step 3: Cross multiply
    94,190x = 141,287 × 141,287
  4. Step 4: Simplify right side
    94,190x = 19,962,016,369
  5. Step 5: Solve for x
    x = 19,962,016,369/94,190
  6. Step 6: Final answer
    x = 211,933.50

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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.