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Finding the Third Proportional to 85,863 and 124,896

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Solution

The third proportional to 85,863 and 124,896 is: 181,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,863 : 124,896 = 124,896 : x
  2. Step 2: Convert to fraction form
    85,863/124,896 = 124,896/x
  3. Step 3: Cross multiply
    85,863x = 124,896 × 124,896
  4. Step 4: Simplify right side
    85,863x = 15,599,010,816
  5. Step 5: Solve for x
    x = 15,599,010,816/85,863
  6. Step 6: Final answer
    x = 181,673.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.