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Finding the Third Proportional to 52,830 and 124,749

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Solution

The third proportional to 52,830 and 124,749 is: 294,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,830 : 124,749 = 124,749 : x
  2. Step 2: Convert to fraction form
    52,830/124,749 = 124,749/x
  3. Step 3: Cross multiply
    52,830x = 124,749 × 124,749
  4. Step 4: Simplify right side
    52,830x = 15,562,313,001
  5. Step 5: Solve for x
    x = 15,562,313,001/52,830
  6. Step 6: Final answer
    x = 294,573.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.