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Finding the Third Proportional to 122,146.50 and 174,345

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Solution

The third proportional to 122,146.50 and 174,345 is: 248,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,146.50 : 174,345 = 174,345 : x
  2. Step 2: Convert to fraction form
    122,146.50/174,345 = 174,345/x
  3. Step 3: Cross multiply
    122,146.50x = 174,345 × 174,345
  4. Step 4: Simplify right side
    122,146.50x = 30,396,179,025
  5. Step 5: Solve for x
    x = 30,396,179,025/122,146.50
  6. Step 6: Final answer
    x = 248,850.18

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.