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Finding the Third Proportional to 125,971 and 276,515

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Solution

The third proportional to 125,971 and 276,515 is: 606,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,971 : 276,515 = 276,515 : x
  2. Step 2: Convert to fraction form
    125,971/276,515 = 276,515/x
  3. Step 3: Cross multiply
    125,971x = 276,515 × 276,515
  4. Step 4: Simplify right side
    125,971x = 76,460,545,225
  5. Step 5: Solve for x
    x = 76,460,545,225/125,971
  6. Step 6: Final answer
    x = 606,969.42

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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.