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Finding the Third Proportional to 78,792 and 116,951

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Solution

The third proportional to 78,792 and 116,951 is: 173,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,792 : 116,951 = 116,951 : x
  2. Step 2: Convert to fraction form
    78,792/116,951 = 116,951/x
  3. Step 3: Cross multiply
    78,792x = 116,951 × 116,951
  4. Step 4: Simplify right side
    78,792x = 13,677,536,401
  5. Step 5: Solve for x
    x = 13,677,536,401/78,792
  6. Step 6: Final answer
    x = 173,590.42

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.