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Finding the Third Proportional to 137,598 and 281,026

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Solution

The third proportional to 137,598 and 281,026 is: 573,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598 : 281,026 = 281,026 : x
  2. Step 2: Convert to fraction form
    137,598/281,026 = 281,026/x
  3. Step 3: Cross multiply
    137,598x = 281,026 × 281,026
  4. Step 4: Simplify right side
    137,598x = 78,975,612,676
  5. Step 5: Solve for x
    x = 78,975,612,676/137,598
  6. Step 6: Final answer
    x = 573,959.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.