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Finding the Third Proportional to 125,364 and 192,014

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Solution

The third proportional to 125,364 and 192,014 is: 294,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,364 : 192,014 = 192,014 : x
  2. Step 2: Convert to fraction form
    125,364/192,014 = 192,014/x
  3. Step 3: Cross multiply
    125,364x = 192,014 × 192,014
  4. Step 4: Simplify right side
    125,364x = 36,869,376,196
  5. Step 5: Solve for x
    x = 36,869,376,196/125,364
  6. Step 6: Final answer
    x = 294,098.59

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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.