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Finding the Third Proportional to 141,514 and 192,291

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Solution

The third proportional to 141,514 and 192,291 is: 261,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,514 : 192,291 = 192,291 : x
  2. Step 2: Convert to fraction form
    141,514/192,291 = 192,291/x
  3. Step 3: Cross multiply
    141,514x = 192,291 × 192,291
  4. Step 4: Simplify right side
    141,514x = 36,975,828,681
  5. Step 5: Solve for x
    x = 36,975,828,681/141,514
  6. Step 6: Final answer
    x = 261,287.43

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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.