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Finding the Third Proportional to 49,590 and 107,928

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Solution

The third proportional to 49,590 and 107,928 is: 234,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,590 : 107,928 = 107,928 : x
  2. Step 2: Convert to fraction form
    49,590/107,928 = 107,928/x
  3. Step 3: Cross multiply
    49,590x = 107,928 × 107,928
  4. Step 4: Simplify right side
    49,590x = 11,648,453,184
  5. Step 5: Solve for x
    x = 11,648,453,184/49,590
  6. Step 6: Final answer
    x = 234,895.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.