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Finding the Third Proportional to 137,599 and 281,030

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Solution

The third proportional to 137,599 and 281,030 is: 573,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,599 : 281,030 = 281,030 : x
  2. Step 2: Convert to fraction form
    137,599/281,030 = 281,030/x
  3. Step 3: Cross multiply
    137,599x = 281,030 × 281,030
  4. Step 4: Simplify right side
    137,599x = 78,977,860,900
  5. Step 5: Solve for x
    x = 78,977,860,900/137,599
  6. Step 6: Final answer
    x = 573,971.18

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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.