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Finding the Third Proportional to 125,178.50 and 192,142

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Solution

The third proportional to 125,178.50 and 192,142 is: 294,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,178.50 : 192,142 = 192,142 : x
  2. Step 2: Convert to fraction form
    125,178.50/192,142 = 192,142/x
  3. Step 3: Cross multiply
    125,178.50x = 192,142 × 192,142
  4. Step 4: Simplify right side
    125,178.50x = 36,918,548,164
  5. Step 5: Solve for x
    x = 36,918,548,164/125,178.50
  6. Step 6: Final answer
    x = 294,927.23

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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.