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Finding the Third Proportional to 51,004 and 110,478

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Solution

The third proportional to 51,004 and 110,478 is: 239,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,004 : 110,478 = 110,478 : x
  2. Step 2: Convert to fraction form
    51,004/110,478 = 110,478/x
  3. Step 3: Cross multiply
    51,004x = 110,478 × 110,478
  4. Step 4: Simplify right side
    51,004x = 12,205,388,484
  5. Step 5: Solve for x
    x = 12,205,388,484/51,004
  6. Step 6: Final answer
    x = 239,302.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.