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Finding the Third Proportional to 111,172.50 and 171,963

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Solution

The third proportional to 111,172.50 and 171,963 is: 265,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,172.50 : 171,963 = 171,963 : x
  2. Step 2: Convert to fraction form
    111,172.50/171,963 = 171,963/x
  3. Step 3: Cross multiply
    111,172.50x = 171,963 × 171,963
  4. Step 4: Simplify right side
    111,172.50x = 29,571,273,369
  5. Step 5: Solve for x
    x = 29,571,273,369/111,172.50
  6. Step 6: Final answer
    x = 265,994.50

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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.