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Finding the Third Proportional to 61,671 and 128,205

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Solution

The third proportional to 61,671 and 128,205 is: 266,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,671 : 128,205 = 128,205 : x
  2. Step 2: Convert to fraction form
    61,671/128,205 = 128,205/x
  3. Step 3: Cross multiply
    61,671x = 128,205 × 128,205
  4. Step 4: Simplify right side
    61,671x = 16,436,522,025
  5. Step 5: Solve for x
    x = 16,436,522,025/61,671
  6. Step 6: Final answer
    x = 266,519.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.