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Finding the Third Proportional to 124,935 and 274,749

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Solution

The third proportional to 124,935 and 274,749 is: 604,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,935 : 274,749 = 274,749 : x
  2. Step 2: Convert to fraction form
    124,935/274,749 = 274,749/x
  3. Step 3: Cross multiply
    124,935x = 274,749 × 274,749
  4. Step 4: Simplify right side
    124,935x = 75,487,013,001
  5. Step 5: Solve for x
    x = 75,487,013,001/124,935
  6. Step 6: Final answer
    x = 604,210.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.