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Finding the Third Proportional to 125,576 and 261,376

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Solution

The third proportional to 125,576 and 261,376 is: 544,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,576 : 261,376 = 261,376 : x
  2. Step 2: Convert to fraction form
    125,576/261,376 = 261,376/x
  3. Step 3: Cross multiply
    125,576x = 261,376 × 261,376
  4. Step 4: Simplify right side
    125,576x = 68,317,413,376
  5. Step 5: Solve for x
    x = 68,317,413,376/125,576
  6. Step 6: Final answer
    x = 544,032.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.