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Finding the Third Proportional to 125,904 and 276,617

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Solution

The third proportional to 125,904 and 276,617 is: 607,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,904 : 276,617 = 276,617 : x
  2. Step 2: Convert to fraction form
    125,904/276,617 = 276,617/x
  3. Step 3: Cross multiply
    125,904x = 276,617 × 276,617
  4. Step 4: Simplify right side
    125,904x = 76,516,964,689
  5. Step 5: Solve for x
    x = 76,516,964,689/125,904
  6. Step 6: Final answer
    x = 607,740.54

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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.