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Finding the Third Proportional to 49,952 and 106,260

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Solution

The third proportional to 49,952 and 106,260 is: 226,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952 : 106,260 = 106,260 : x
  2. Step 2: Convert to fraction form
    49,952/106,260 = 106,260/x
  3. Step 3: Cross multiply
    49,952x = 106,260 × 106,260
  4. Step 4: Simplify right side
    49,952x = 11,291,187,600
  5. Step 5: Solve for x
    x = 11,291,187,600/49,952
  6. Step 6: Final answer
    x = 226,040.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.