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Finding the Third Proportional to 103,296 and 154,944

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Solution

The third proportional to 103,296 and 154,944 is: 232,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,296 : 154,944 = 154,944 : x
  2. Step 2: Convert to fraction form
    103,296/154,944 = 154,944/x
  3. Step 3: Cross multiply
    103,296x = 154,944 × 154,944
  4. Step 4: Simplify right side
    103,296x = 24,007,643,136
  5. Step 5: Solve for x
    x = 24,007,643,136/103,296
  6. Step 6: Final answer
    x = 232,416

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.