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Finding the Third Proportional to 117,621 and 177,526

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Solution

The third proportional to 117,621 and 177,526 is: 267,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,621 : 177,526 = 177,526 : x
  2. Step 2: Convert to fraction form
    117,621/177,526 = 177,526/x
  3. Step 3: Cross multiply
    117,621x = 177,526 × 177,526
  4. Step 4: Simplify right side
    117,621x = 31,515,480,676
  5. Step 5: Solve for x
    x = 31,515,480,676/117,621
  6. Step 6: Final answer
    x = 267,940.93

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