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Finding the Third Proportional to 98,589 and 160,971.75

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Solution

The third proportional to 98,589 and 160,971.75 is: 262,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,589 : 160,971.75 = 160,971.75 : x
  2. Step 2: Convert to fraction form
    98,589/160,971.75 = 160,971.75/x
  3. Step 3: Cross multiply
    98,589x = 160,971.75 × 160,971.75
  4. Step 4: Simplify right side
    98,589x = 25,911,904,298.06
  5. Step 5: Solve for x
    x = 25,911,904,298.06/98,589
  6. Step 6: Final answer
    x = 262,827.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.