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Finding the Third Proportional to 47,640 and 106,557

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Solution

The third proportional to 47,640 and 106,557 is: 238,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640 : 106,557 = 106,557 : x
  2. Step 2: Convert to fraction form
    47,640/106,557 = 106,557/x
  3. Step 3: Cross multiply
    47,640x = 106,557 × 106,557
  4. Step 4: Simplify right side
    47,640x = 11,354,394,249
  5. Step 5: Solve for x
    x = 11,354,394,249/47,640
  6. Step 6: Final answer
    x = 238,337.41

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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.