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Finding the Third Proportional to 82,064 and 125,504

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Solution

The third proportional to 82,064 and 125,504 is: 191,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064 : 125,504 = 125,504 : x
  2. Step 2: Convert to fraction form
    82,064/125,504 = 125,504/x
  3. Step 3: Cross multiply
    82,064x = 125,504 × 125,504
  4. Step 4: Simplify right side
    82,064x = 15,751,254,016
  5. Step 5: Solve for x
    x = 15,751,254,016/82,064
  6. Step 6: Final answer
    x = 191,938.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.