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Finding the Third Proportional to 129,125 and 281,114

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Solution

The third proportional to 129,125 and 281,114 is: 612,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,125 : 281,114 = 281,114 : x
  2. Step 2: Convert to fraction form
    129,125/281,114 = 281,114/x
  3. Step 3: Cross multiply
    129,125x = 281,114 × 281,114
  4. Step 4: Simplify right side
    129,125x = 79,025,080,996
  5. Step 5: Solve for x
    x = 79,025,080,996/129,125
  6. Step 6: Final answer
    x = 612,004.50

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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.