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Finding the Third Proportional to 124,679 and 267,219

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Solution

The third proportional to 124,679 and 267,219 is: 572,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,679 : 267,219 = 267,219 : x
  2. Step 2: Convert to fraction form
    124,679/267,219 = 267,219/x
  3. Step 3: Cross multiply
    124,679x = 267,219 × 267,219
  4. Step 4: Simplify right side
    124,679x = 71,405,993,961
  5. Step 5: Solve for x
    x = 71,405,993,961/124,679
  6. Step 6: Final answer
    x = 572,718.69

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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.