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Finding the Third Proportional to 109,212 and 173,656

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Solution

The third proportional to 109,212 and 173,656 is: 276,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212 : 173,656 = 173,656 : x
  2. Step 2: Convert to fraction form
    109,212/173,656 = 173,656/x
  3. Step 3: Cross multiply
    109,212x = 173,656 × 173,656
  4. Step 4: Simplify right side
    109,212x = 30,156,406,336
  5. Step 5: Solve for x
    x = 30,156,406,336/109,212
  6. Step 6: Final answer
    x = 276,127.22

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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.