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Finding the Third Proportional to 89,546 and 121,170

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Solution

The third proportional to 89,546 and 121,170 is: 163,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,546 : 121,170 = 121,170 : x
  2. Step 2: Convert to fraction form
    89,546/121,170 = 121,170/x
  3. Step 3: Cross multiply
    89,546x = 121,170 × 121,170
  4. Step 4: Simplify right side
    89,546x = 14,682,168,900
  5. Step 5: Solve for x
    x = 14,682,168,900/89,546
  6. Step 6: Final answer
    x = 163,962.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.