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Finding the Third Proportional to 144,078 and 192,789

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Solution

The third proportional to 144,078 and 192,789 is: 257,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,078 : 192,789 = 192,789 : x
  2. Step 2: Convert to fraction form
    144,078/192,789 = 192,789/x
  3. Step 3: Cross multiply
    144,078x = 192,789 × 192,789
  4. Step 4: Simplify right side
    144,078x = 37,167,598,521
  5. Step 5: Solve for x
    x = 37,167,598,521/144,078
  6. Step 6: Final answer
    x = 257,968.59

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.