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Finding the Third Proportional to 109,071 and 228,075

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Solution

The third proportional to 109,071 and 228,075 is: 476,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,071 : 228,075 = 228,075 : x
  2. Step 2: Convert to fraction form
    109,071/228,075 = 228,075/x
  3. Step 3: Cross multiply
    109,071x = 228,075 × 228,075
  4. Step 4: Simplify right side
    109,071x = 52,018,205,625
  5. Step 5: Solve for x
    x = 52,018,205,625/109,071
  6. Step 6: Final answer
    x = 476,920.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.