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Finding the Third Proportional to 41,804 and 89,280

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Solution

The third proportional to 41,804 and 89,280 is: 190,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,804 : 89,280 = 89,280 : x
  2. Step 2: Convert to fraction form
    41,804/89,280 = 89,280/x
  3. Step 3: Cross multiply
    41,804x = 89,280 × 89,280
  4. Step 4: Simplify right side
    41,804x = 7,970,918,400
  5. Step 5: Solve for x
    x = 7,970,918,400/41,804
  6. Step 6: Final answer
    x = 190,673.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.