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Finding the Third Proportional to 129,106 and 281,576

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Solution

The third proportional to 129,106 and 281,576 is: 614,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,106 : 281,576 = 281,576 : x
  2. Step 2: Convert to fraction form
    129,106/281,576 = 281,576/x
  3. Step 3: Cross multiply
    129,106x = 281,576 × 281,576
  4. Step 4: Simplify right side
    129,106x = 79,285,043,776
  5. Step 5: Solve for x
    x = 79,285,043,776/129,106
  6. Step 6: Final answer
    x = 614,108.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.