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Finding the Third Proportional to 89,014 and 118,905

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Solution

The third proportional to 89,014 and 118,905 is: 158,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,014 : 118,905 = 118,905 : x
  2. Step 2: Convert to fraction form
    89,014/118,905 = 118,905/x
  3. Step 3: Cross multiply
    89,014x = 118,905 × 118,905
  4. Step 4: Simplify right side
    89,014x = 14,138,399,025
  5. Step 5: Solve for x
    x = 14,138,399,025/89,014
  6. Step 6: Final answer
    x = 158,833.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.