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Finding the Third Proportional to 77,996 and 117,696

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Solution

The third proportional to 77,996 and 117,696 is: 177,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,996 : 117,696 = 117,696 : x
  2. Step 2: Convert to fraction form
    77,996/117,696 = 117,696/x
  3. Step 3: Cross multiply
    77,996x = 117,696 × 117,696
  4. Step 4: Simplify right side
    77,996x = 13,852,348,416
  5. Step 5: Solve for x
    x = 13,852,348,416/77,996
  6. Step 6: Final answer
    x = 177,603.32

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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.