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Finding the Third Proportional to 125,968 and 276,509

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Solution

The third proportional to 125,968 and 276,509 is: 606,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,968 : 276,509 = 276,509 : x
  2. Step 2: Convert to fraction form
    125,968/276,509 = 276,509/x
  3. Step 3: Cross multiply
    125,968x = 276,509 × 276,509
  4. Step 4: Simplify right side
    125,968x = 76,457,227,081
  5. Step 5: Solve for x
    x = 76,457,227,081/125,968
  6. Step 6: Final answer
    x = 606,957.54

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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.