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Finding the Third Proportional to 118,971 and 173,980.50

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Solution

The third proportional to 118,971 and 173,980.50 is: 254,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971 : 173,980.50 = 173,980.50 : x
  2. Step 2: Convert to fraction form
    118,971/173,980.50 = 173,980.50/x
  3. Step 3: Cross multiply
    118,971x = 173,980.50 × 173,980.50
  4. Step 4: Simplify right side
    118,971x = 30,269,214,380.25
  5. Step 5: Solve for x
    x = 30,269,214,380.25/118,971
  6. Step 6: Final answer
    x = 254,425.15

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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.