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Finding the Third Proportional to 118,915.50 and 174,106.50

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Solution

The third proportional to 118,915.50 and 174,106.50 is: 254,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,915.50 : 174,106.50 = 174,106.50 : x
  2. Step 2: Convert to fraction form
    118,915.50/174,106.50 = 174,106.50/x
  3. Step 3: Cross multiply
    118,915.50x = 174,106.50 × 174,106.50
  4. Step 4: Simplify right side
    118,915.50x = 30,313,073,342.25
  5. Step 5: Solve for x
    x = 30,313,073,342.25/118,915.50
  6. Step 6: Final answer
    x = 254,912.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.