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Finding the Third Proportional to 133,024 and 194,574

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Solution

The third proportional to 133,024 and 194,574 is: 284,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024 : 194,574 = 194,574 : x
  2. Step 2: Convert to fraction form
    133,024/194,574 = 194,574/x
  3. Step 3: Cross multiply
    133,024x = 194,574 × 194,574
  4. Step 4: Simplify right side
    133,024x = 37,859,041,476
  5. Step 5: Solve for x
    x = 37,859,041,476/133,024
  6. Step 6: Final answer
    x = 284,603.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.