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Finding the Third Proportional to 101,247 and 160,913

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Solution

The third proportional to 101,247 and 160,913 is: 255,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,247 : 160,913 = 160,913 : x
  2. Step 2: Convert to fraction form
    101,247/160,913 = 160,913/x
  3. Step 3: Cross multiply
    101,247x = 160,913 × 160,913
  4. Step 4: Simplify right side
    101,247x = 25,892,993,569
  5. Step 5: Solve for x
    x = 25,892,993,569/101,247
  6. Step 6: Final answer
    x = 255,740.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.