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Finding the Third Proportional to 66,032 and 104,984

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Solution

The third proportional to 66,032 and 104,984 is: 166,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,032 : 104,984 = 104,984 : x
  2. Step 2: Convert to fraction form
    66,032/104,984 = 104,984/x
  3. Step 3: Cross multiply
    66,032x = 104,984 × 104,984
  4. Step 4: Simplify right side
    66,032x = 11,021,640,256
  5. Step 5: Solve for x
    x = 11,021,640,256/66,032
  6. Step 6: Final answer
    x = 166,913.62

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Why These Related Problems?

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