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Finding the Third Proportional to 46,911 and 102,939

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Solution

The third proportional to 46,911 and 102,939 is: 225,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,911 : 102,939 = 102,939 : x
  2. Step 2: Convert to fraction form
    46,911/102,939 = 102,939/x
  3. Step 3: Cross multiply
    46,911x = 102,939 × 102,939
  4. Step 4: Simplify right side
    46,911x = 10,596,437,721
  5. Step 5: Solve for x
    x = 10,596,437,721/46,911
  6. Step 6: Final answer
    x = 225,883.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.