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Finding the Third Proportional to 123,962.88 and 254,459.75

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Solution

The third proportional to 123,962.88 and 254,459.75 is: 522,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,962.88 : 254,459.75 = 254,459.75 : x
  2. Step 2: Convert to fraction form
    123,962.88/254,459.75 = 254,459.75/x
  3. Step 3: Cross multiply
    123,962.88x = 254,459.75 × 254,459.75
  4. Step 4: Simplify right side
    123,962.88x = 64,749,764,370.06
  5. Step 5: Solve for x
    x = 64,749,764,370.06/123,962.88
  6. Step 6: Final answer
    x = 522,331.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.