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Finding the Third Proportional to 121,728 and 193,152

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Solution

The third proportional to 121,728 and 193,152 is: 306,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,728 : 193,152 = 193,152 : x
  2. Step 2: Convert to fraction form
    121,728/193,152 = 193,152/x
  3. Step 3: Cross multiply
    121,728x = 193,152 × 193,152
  4. Step 4: Simplify right side
    121,728x = 37,307,695,104
  5. Step 5: Solve for x
    x = 37,307,695,104/121,728
  6. Step 6: Final answer
    x = 306,484.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.