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Finding the Third Proportional to 49,900 and 107,713

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Solution

The third proportional to 49,900 and 107,713 is: 232,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900 : 107,713 = 107,713 : x
  2. Step 2: Convert to fraction form
    49,900/107,713 = 107,713/x
  3. Step 3: Cross multiply
    49,900x = 107,713 × 107,713
  4. Step 4: Simplify right side
    49,900x = 11,602,090,369
  5. Step 5: Solve for x
    x = 11,602,090,369/49,900
  6. Step 6: Final answer
    x = 232,506.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.