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Finding the Third Proportional to 76,032 and 154,944

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Solution

The third proportional to 76,032 and 154,944 is: 315,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,032 : 154,944 = 154,944 : x
  2. Step 2: Convert to fraction form
    76,032/154,944 = 154,944/x
  3. Step 3: Cross multiply
    76,032x = 154,944 × 154,944
  4. Step 4: Simplify right side
    76,032x = 24,007,643,136
  5. Step 5: Solve for x
    x = 24,007,643,136/76,032
  6. Step 6: Final answer
    x = 315,757.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.