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Finding the Third Proportional to 122,102.75 and 263,962.50

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Solution

The third proportional to 122,102.75 and 263,962.50 is: 570,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,102.75 : 263,962.50 = 263,962.50 : x
  2. Step 2: Convert to fraction form
    122,102.75/263,962.50 = 263,962.50/x
  3. Step 3: Cross multiply
    122,102.75x = 263,962.50 × 263,962.50
  4. Step 4: Simplify right side
    122,102.75x = 69,676,201,406.25
  5. Step 5: Solve for x
    x = 69,676,201,406.25/122,102.75
  6. Step 6: Final answer
    x = 570,635.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.