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Finding the Third Proportional to 51,928 and 121,583

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Solution

The third proportional to 51,928 and 121,583 is: 284,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,928 : 121,583 = 121,583 : x
  2. Step 2: Convert to fraction form
    51,928/121,583 = 121,583/x
  3. Step 3: Cross multiply
    51,928x = 121,583 × 121,583
  4. Step 4: Simplify right side
    51,928x = 14,782,425,889
  5. Step 5: Solve for x
    x = 14,782,425,889/51,928
  6. Step 6: Final answer
    x = 284,671.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.