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Finding the Third Proportional to 129,127 and 281,126

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Solution

The third proportional to 129,127 and 281,126 is: 612,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,127 : 281,126 = 281,126 : x
  2. Step 2: Convert to fraction form
    129,127/281,126 = 281,126/x
  3. Step 3: Cross multiply
    129,127x = 281,126 × 281,126
  4. Step 4: Simplify right side
    129,127x = 79,031,827,876
  5. Step 5: Solve for x
    x = 79,031,827,876/129,127
  6. Step 6: Final answer
    x = 612,047.27

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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.