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Finding the Third Proportional to 49,788 and 108,900

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Solution

The third proportional to 49,788 and 108,900 is: 238,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,788 : 108,900 = 108,900 : x
  2. Step 2: Convert to fraction form
    49,788/108,900 = 108,900/x
  3. Step 3: Cross multiply
    49,788x = 108,900 × 108,900
  4. Step 4: Simplify right side
    49,788x = 11,859,210,000
  5. Step 5: Solve for x
    x = 11,859,210,000/49,788
  6. Step 6: Final answer
    x = 238,194.14

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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.