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Finding the Third Proportional to 89,544 and 121,167

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Solution

The third proportional to 89,544 and 121,167 is: 163,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,544 : 121,167 = 121,167 : x
  2. Step 2: Convert to fraction form
    89,544/121,167 = 121,167/x
  3. Step 3: Cross multiply
    89,544x = 121,167 × 121,167
  4. Step 4: Simplify right side
    89,544x = 14,681,441,889
  5. Step 5: Solve for x
    x = 14,681,441,889/89,544
  6. Step 6: Final answer
    x = 163,957.85

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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.