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Finding the Third Proportional to 94,193 and 141,291

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Solution

The third proportional to 94,193 and 141,291 is: 211,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,193 : 141,291 = 141,291 : x
  2. Step 2: Convert to fraction form
    94,193/141,291 = 141,291/x
  3. Step 3: Cross multiply
    94,193x = 141,291 × 141,291
  4. Step 4: Simplify right side
    94,193x = 19,963,146,681
  5. Step 5: Solve for x
    x = 19,963,146,681/94,193
  6. Step 6: Final answer
    x = 211,938.75

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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.