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Finding the Third Proportional to 89,996 and 127,918

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Solution

The third proportional to 89,996 and 127,918 is: 181,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,996 : 127,918 = 127,918 : x
  2. Step 2: Convert to fraction form
    89,996/127,918 = 127,918/x
  3. Step 3: Cross multiply
    89,996x = 127,918 × 127,918
  4. Step 4: Simplify right side
    89,996x = 16,363,014,724
  5. Step 5: Solve for x
    x = 16,363,014,724/89,996
  6. Step 6: Final answer
    x = 181,819.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.