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Finding the Third Proportional to 118,849.50 and 174,078

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Solution

The third proportional to 118,849.50 and 174,078 is: 254,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,849.50 : 174,078 = 174,078 : x
  2. Step 2: Convert to fraction form
    118,849.50/174,078 = 174,078/x
  3. Step 3: Cross multiply
    118,849.50x = 174,078 × 174,078
  4. Step 4: Simplify right side
    118,849.50x = 30,303,150,084
  5. Step 5: Solve for x
    x = 30,303,150,084/118,849.50
  6. Step 6: Final answer
    x = 254,970.78

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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.