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Finding the Third Proportional to 98,766 and 159,057

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Solution

The third proportional to 98,766 and 159,057 is: 256,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,766 : 159,057 = 159,057 : x
  2. Step 2: Convert to fraction form
    98,766/159,057 = 159,057/x
  3. Step 3: Cross multiply
    98,766x = 159,057 × 159,057
  4. Step 4: Simplify right side
    98,766x = 25,299,129,249
  5. Step 5: Solve for x
    x = 25,299,129,249/98,766
  6. Step 6: Final answer
    x = 256,152.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.