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Finding the Third Proportional to 117,626 and 177,533

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Solution

The third proportional to 117,626 and 177,533 is: 267,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,626 : 177,533 = 177,533 : x
  2. Step 2: Convert to fraction form
    117,626/177,533 = 177,533/x
  3. Step 3: Cross multiply
    117,626x = 177,533 × 177,533
  4. Step 4: Simplify right side
    117,626x = 31,517,966,089
  5. Step 5: Solve for x
    x = 31,517,966,089/117,626
  6. Step 6: Final answer
    x = 267,950.67

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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.