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Finding the Third Proportional to 104,024 and 159,924

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Solution

The third proportional to 104,024 and 159,924 is: 245,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,024 : 159,924 = 159,924 : x
  2. Step 2: Convert to fraction form
    104,024/159,924 = 159,924/x
  3. Step 3: Cross multiply
    104,024x = 159,924 × 159,924
  4. Step 4: Simplify right side
    104,024x = 25,575,685,776
  5. Step 5: Solve for x
    x = 25,575,685,776/104,024
  6. Step 6: Final answer
    x = 245,863.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.