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Finding the Third Proportional to 125,569 and 271,055

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Solution

The third proportional to 125,569 and 271,055 is: 585,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,569 : 271,055 = 271,055 : x
  2. Step 2: Convert to fraction form
    125,569/271,055 = 271,055/x
  3. Step 3: Cross multiply
    125,569x = 271,055 × 271,055
  4. Step 4: Simplify right side
    125,569x = 73,470,813,025
  5. Step 5: Solve for x
    x = 73,470,813,025/125,569
  6. Step 6: Final answer
    x = 585,103.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.