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Finding the Third Proportional to 129,057 and 276,792

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Solution

The third proportional to 129,057 and 276,792 is: 593,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,057 : 276,792 = 276,792 : x
  2. Step 2: Convert to fraction form
    129,057/276,792 = 276,792/x
  3. Step 3: Cross multiply
    129,057x = 276,792 × 276,792
  4. Step 4: Simplify right side
    129,057x = 76,613,811,264
  5. Step 5: Solve for x
    x = 76,613,811,264/129,057
  6. Step 6: Final answer
    x = 593,643.21

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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.