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Finding the Third Proportional to 85,015 and 124,930

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Solution

The third proportional to 85,015 and 124,930 is: 183,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,015 : 124,930 = 124,930 : x
  2. Step 2: Convert to fraction form
    85,015/124,930 = 124,930/x
  3. Step 3: Cross multiply
    85,015x = 124,930 × 124,930
  4. Step 4: Simplify right side
    85,015x = 15,607,504,900
  5. Step 5: Solve for x
    x = 15,607,504,900/85,015
  6. Step 6: Final answer
    x = 183,585.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.