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Finding the Third Proportional to 42,241 and 89,334

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Solution

The third proportional to 42,241 and 89,334 is: 188,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 89,334 = 89,334 : x
  2. Step 2: Convert to fraction form
    42,241/89,334 = 89,334/x
  3. Step 3: Cross multiply
    42,241x = 89,334 × 89,334
  4. Step 4: Simplify right side
    42,241x = 7,980,563,556
  5. Step 5: Solve for x
    x = 7,980,563,556/42,241
  6. Step 6: Final answer
    x = 188,929.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.