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Finding the Third Proportional to 80,083 and 124,969

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Solution

The third proportional to 80,083 and 124,969 is: 195,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,083 : 124,969 = 124,969 : x
  2. Step 2: Convert to fraction form
    80,083/124,969 = 124,969/x
  3. Step 3: Cross multiply
    80,083x = 124,969 × 124,969
  4. Step 4: Simplify right side
    80,083x = 15,617,250,961
  5. Step 5: Solve for x
    x = 15,617,250,961/80,083
  6. Step 6: Final answer
    x = 195,013.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.