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Finding the Third Proportional to 125,883 and 192,111

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Solution

The third proportional to 125,883 and 192,111 is: 293,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,883 : 192,111 = 192,111 : x
  2. Step 2: Convert to fraction form
    125,883/192,111 = 192,111/x
  3. Step 3: Cross multiply
    125,883x = 192,111 × 192,111
  4. Step 4: Simplify right side
    125,883x = 36,906,636,321
  5. Step 5: Solve for x
    x = 36,906,636,321/125,883
  6. Step 6: Final answer
    x = 293,182.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.