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Finding the Third Proportional to 122,543.50 and 192,563.50

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Solution

The third proportional to 122,543.50 and 192,563.50 is: 302,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,543.50 : 192,563.50 = 192,563.50 : x
  2. Step 2: Convert to fraction form
    122,543.50/192,563.50 = 192,563.50/x
  3. Step 3: Cross multiply
    122,543.50x = 192,563.50 × 192,563.50
  4. Step 4: Simplify right side
    122,543.50x = 37,080,701,532.25
  5. Step 5: Solve for x
    x = 37,080,701,532.25/122,543.50
  6. Step 6: Final answer
    x = 302,592.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.