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Finding the Third Proportional to 122,512.50 and 262,751.34

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Solution

The third proportional to 122,512.50 and 262,751.34 is: 563,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,512.50 : 262,751.34 = 262,751.34 : x
  2. Step 2: Convert to fraction form
    122,512.50/262,751.34 = 262,751.34/x
  3. Step 3: Cross multiply
    122,512.50x = 262,751.34 × 262,751.34
  4. Step 4: Simplify right side
    122,512.50x = 69,038,268,642.43
  5. Step 5: Solve for x
    x = 69,038,268,642.43/122,512.50
  6. Step 6: Final answer
    x = 563,520.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.