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Finding the Third Proportional to 109,992 and 174,834

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Solution

The third proportional to 109,992 and 174,834 is: 277,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,992 : 174,834 = 174,834 : x
  2. Step 2: Convert to fraction form
    109,992/174,834 = 174,834/x
  3. Step 3: Cross multiply
    109,992x = 174,834 × 174,834
  4. Step 4: Simplify right side
    109,992x = 30,566,927,556
  5. Step 5: Solve for x
    x = 30,566,927,556/109,992
  6. Step 6: Final answer
    x = 277,901.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.