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Finding the Third Proportional to 125,355 and 275,514

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Solution

The third proportional to 125,355 and 275,514 is: 605,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,355 : 275,514 = 275,514 : x
  2. Step 2: Convert to fraction form
    125,355/275,514 = 275,514/x
  3. Step 3: Cross multiply
    125,355x = 275,514 × 275,514
  4. Step 4: Simplify right side
    125,355x = 75,907,964,196
  5. Step 5: Solve for x
    x = 75,907,964,196/125,355
  6. Step 6: Final answer
    x = 605,543.97

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