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Finding the Third Proportional to 66,809 and 107,454

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Solution

The third proportional to 66,809 and 107,454 is: 172,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,809 : 107,454 = 107,454 : x
  2. Step 2: Convert to fraction form
    66,809/107,454 = 107,454/x
  3. Step 3: Cross multiply
    66,809x = 107,454 × 107,454
  4. Step 4: Simplify right side
    66,809x = 11,546,362,116
  5. Step 5: Solve for x
    x = 11,546,362,116/66,809
  6. Step 6: Final answer
    x = 172,826.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.