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Finding the Third Proportional to 43,161 and 89,319

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Solution

The third proportional to 43,161 and 89,319 is: 184,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,161 : 89,319 = 89,319 : x
  2. Step 2: Convert to fraction form
    43,161/89,319 = 89,319/x
  3. Step 3: Cross multiply
    43,161x = 89,319 × 89,319
  4. Step 4: Simplify right side
    43,161x = 7,977,883,761
  5. Step 5: Solve for x
    x = 7,977,883,761/43,161
  6. Step 6: Final answer
    x = 184,840.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.