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Finding the Third Proportional to 111,915.50 and 173,546.63

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Solution

The third proportional to 111,915.50 and 173,546.63 is: 269,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,915.50 : 173,546.63 = 173,546.63 : x
  2. Step 2: Convert to fraction form
    111,915.50/173,546.63 = 173,546.63/x
  3. Step 3: Cross multiply
    111,915.50x = 173,546.63 × 173,546.63
  4. Step 4: Simplify right side
    111,915.50x = 30,118,431,048.89
  5. Step 5: Solve for x
    x = 30,118,431,048.89/111,915.50
  6. Step 6: Final answer
    x = 269,117.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.