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Finding the Third Proportional to 73,094 and 159,724

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Solution

The third proportional to 73,094 and 159,724 is: 349,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,094 : 159,724 = 159,724 : x
  2. Step 2: Convert to fraction form
    73,094/159,724 = 159,724/x
  3. Step 3: Cross multiply
    73,094x = 159,724 × 159,724
  4. Step 4: Simplify right side
    73,094x = 25,511,756,176
  5. Step 5: Solve for x
    x = 25,511,756,176/73,094
  6. Step 6: Final answer
    x = 349,026.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.