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Finding the Third Proportional to 52,582 and 113,907

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Solution

The third proportional to 52,582 and 113,907 is: 246,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,582 : 113,907 = 113,907 : x
  2. Step 2: Convert to fraction form
    52,582/113,907 = 113,907/x
  3. Step 3: Cross multiply
    52,582x = 113,907 × 113,907
  4. Step 4: Simplify right side
    52,582x = 12,974,804,649
  5. Step 5: Solve for x
    x = 12,974,804,649/52,582
  6. Step 6: Final answer
    x = 246,753.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.