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Finding the Third Proportional to 105,372 and 201,024

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Solution

The third proportional to 105,372 and 201,024 is: 383,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,372 : 201,024 = 201,024 : x
  2. Step 2: Convert to fraction form
    105,372/201,024 = 201,024/x
  3. Step 3: Cross multiply
    105,372x = 201,024 × 201,024
  4. Step 4: Simplify right side
    105,372x = 40,410,648,576
  5. Step 5: Solve for x
    x = 40,410,648,576/105,372
  6. Step 6: Final answer
    x = 383,504.62

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.