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Finding the Third Proportional to 81,725.75 and 124,967

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Solution

The third proportional to 81,725.75 and 124,967 is: 191,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,725.75 : 124,967 = 124,967 : x
  2. Step 2: Convert to fraction form
    81,725.75/124,967 = 124,967/x
  3. Step 3: Cross multiply
    81,725.75x = 124,967 × 124,967
  4. Step 4: Simplify right side
    81,725.75x = 15,616,751,089
  5. Step 5: Solve for x
    x = 15,616,751,089/81,725.75
  6. Step 6: Final answer
    x = 191,087.28

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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.