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Finding the Third Proportional to 89,240 and 118,972

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Solution

The third proportional to 89,240 and 118,972 is: 158,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,240 : 118,972 = 118,972 : x
  2. Step 2: Convert to fraction form
    89,240/118,972 = 118,972/x
  3. Step 3: Cross multiply
    89,240x = 118,972 × 118,972
  4. Step 4: Simplify right side
    89,240x = 14,154,336,784
  5. Step 5: Solve for x
    x = 14,154,336,784/89,240
  6. Step 6: Final answer
    x = 158,609.78

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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.