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Finding the Third Proportional to 78,922 and 119,199

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Solution

The third proportional to 78,922 and 119,199 is: 180,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,922 : 119,199 = 119,199 : x
  2. Step 2: Convert to fraction form
    78,922/119,199 = 119,199/x
  3. Step 3: Cross multiply
    78,922x = 119,199 × 119,199
  4. Step 4: Simplify right side
    78,922x = 14,208,401,601
  5. Step 5: Solve for x
    x = 14,208,401,601/78,922
  6. Step 6: Final answer
    x = 180,030.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.