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Finding the Third Proportional to 51,564 and 107,592

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Solution

The third proportional to 51,564 and 107,592 is: 224,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,564 : 107,592 = 107,592 : x
  2. Step 2: Convert to fraction form
    51,564/107,592 = 107,592/x
  3. Step 3: Cross multiply
    51,564x = 107,592 × 107,592
  4. Step 4: Simplify right side
    51,564x = 11,576,038,464
  5. Step 5: Solve for x
    x = 11,576,038,464/51,564
  6. Step 6: Final answer
    x = 224,498.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.