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Finding the Third Proportional to 49,124.21 and 105,251.51

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Solution

The third proportional to 49,124.21 and 105,251.51 is: 225,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,124.21 : 105,251.51 = 105,251.51 : x
  2. Step 2: Convert to fraction form
    49,124.21/105,251.51 = 105,251.51/x
  3. Step 3: Cross multiply
    49,124.21x = 105,251.51 × 105,251.51
  4. Step 4: Simplify right side
    49,124.21x = 11,077,880,513.51
  5. Step 5: Solve for x
    x = 11,077,880,513.51/49,124.21
  6. Step 6: Final answer
    x = 225,507.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.