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Finding the Third Proportional to 125,968 and 192,300

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Solution

The third proportional to 125,968 and 192,300 is: 293,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,968 : 192,300 = 192,300 : x
  2. Step 2: Convert to fraction form
    125,968/192,300 = 192,300/x
  3. Step 3: Cross multiply
    125,968x = 192,300 × 192,300
  4. Step 4: Simplify right side
    125,968x = 36,979,290,000
  5. Step 5: Solve for x
    x = 36,979,290,000/125,968
  6. Step 6: Final answer
    x = 293,560.98

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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.