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Finding the Third Proportional to 47,634 and 106,545

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Solution

The third proportional to 47,634 and 106,545 is: 238,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,634 : 106,545 = 106,545 : x
  2. Step 2: Convert to fraction form
    47,634/106,545 = 106,545/x
  3. Step 3: Cross multiply
    47,634x = 106,545 × 106,545
  4. Step 4: Simplify right side
    47,634x = 11,351,837,025
  5. Step 5: Solve for x
    x = 11,351,837,025/47,634
  6. Step 6: Final answer
    x = 238,313.75

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.