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Finding the Third Proportional to 122,967 and 174,325.50

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Solution

The third proportional to 122,967 and 174,325.50 is: 247,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,967 : 174,325.50 = 174,325.50 : x
  2. Step 2: Convert to fraction form
    122,967/174,325.50 = 174,325.50/x
  3. Step 3: Cross multiply
    122,967x = 174,325.50 × 174,325.50
  4. Step 4: Simplify right side
    122,967x = 30,389,379,950.25
  5. Step 5: Solve for x
    x = 30,389,379,950.25/122,967
  6. Step 6: Final answer
    x = 247,134.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.