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Finding the Third Proportional to 125,250.75 and 254,876.25

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Solution

The third proportional to 125,250.75 and 254,876.25 is: 518,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,250.75 : 254,876.25 = 254,876.25 : x
  2. Step 2: Convert to fraction form
    125,250.75/254,876.25 = 254,876.25/x
  3. Step 3: Cross multiply
    125,250.75x = 254,876.25 × 254,876.25
  4. Step 4: Simplify right side
    125,250.75x = 64,961,902,814.06
  5. Step 5: Solve for x
    x = 64,961,902,814.06/125,250.75
  6. Step 6: Final answer
    x = 518,654.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.