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Finding the Third Proportional to 125,969 and 276,511

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Solution

The third proportional to 125,969 and 276,511 is: 606,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,969 : 276,511 = 276,511 : x
  2. Step 2: Convert to fraction form
    125,969/276,511 = 276,511/x
  3. Step 3: Cross multiply
    125,969x = 276,511 × 276,511
  4. Step 4: Simplify right side
    125,969x = 76,458,333,121
  5. Step 5: Solve for x
    x = 76,458,333,121/125,969
  6. Step 6: Final answer
    x = 606,961.50

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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.