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Finding the Third Proportional to 48,137 and 105,574

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Solution

The third proportional to 48,137 and 105,574 is: 231,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,137 : 105,574 = 105,574 : x
  2. Step 2: Convert to fraction form
    48,137/105,574 = 105,574/x
  3. Step 3: Cross multiply
    48,137x = 105,574 × 105,574
  4. Step 4: Simplify right side
    48,137x = 11,145,869,476
  5. Step 5: Solve for x
    x = 11,145,869,476/48,137
  6. Step 6: Final answer
    x = 231,544.75

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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.