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Finding the Third Proportional to 44,054 and 85,889

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Solution

The third proportional to 44,054 and 85,889 is: 167,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,054 : 85,889 = 85,889 : x
  2. Step 2: Convert to fraction form
    44,054/85,889 = 85,889/x
  3. Step 3: Cross multiply
    44,054x = 85,889 × 85,889
  4. Step 4: Simplify right side
    44,054x = 7,376,920,321
  5. Step 5: Solve for x
    x = 7,376,920,321/44,054
  6. Step 6: Final answer
    x = 167,451.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.