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Finding the Third Proportional to 125,110.13 and 275,123.25

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Solution

The third proportional to 125,110.13 and 275,123.25 is: 605,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,110.13 : 275,123.25 = 275,123.25 : x
  2. Step 2: Convert to fraction form
    125,110.13/275,123.25 = 275,123.25/x
  3. Step 3: Cross multiply
    125,110.13x = 275,123.25 × 275,123.25
  4. Step 4: Simplify right side
    125,110.13x = 75,692,802,690.56
  5. Step 5: Solve for x
    x = 75,692,802,690.56/125,110.13
  6. Step 6: Final answer
    x = 605,009.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.