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Finding the Third Proportional to 49,574 and 102,955

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Solution

The third proportional to 49,574 and 102,955 is: 213,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,574 : 102,955 = 102,955 : x
  2. Step 2: Convert to fraction form
    49,574/102,955 = 102,955/x
  3. Step 3: Cross multiply
    49,574x = 102,955 × 102,955
  4. Step 4: Simplify right side
    49,574x = 10,599,732,025
  5. Step 5: Solve for x
    x = 10,599,732,025/49,574
  6. Step 6: Final answer
    x = 213,816.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.