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Finding the Third Proportional to 89,188 and 118,960

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Solution

The third proportional to 89,188 and 118,960 is: 158,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,188 : 118,960 = 118,960 : x
  2. Step 2: Convert to fraction form
    89,188/118,960 = 118,960/x
  3. Step 3: Cross multiply
    89,188x = 118,960 × 118,960
  4. Step 4: Simplify right side
    89,188x = 14,151,481,600
  5. Step 5: Solve for x
    x = 14,151,481,600/89,188
  6. Step 6: Final answer
    x = 158,670.24

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.