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Finding the Third Proportional to 51,789 and 108,804

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Solution

The third proportional to 51,789 and 108,804 is: 228,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,789 : 108,804 = 108,804 : x
  2. Step 2: Convert to fraction form
    51,789/108,804 = 108,804/x
  3. Step 3: Cross multiply
    51,789x = 108,804 × 108,804
  4. Step 4: Simplify right side
    51,789x = 11,838,310,416
  5. Step 5: Solve for x
    x = 11,838,310,416/51,789
  6. Step 6: Final answer
    x = 228,587.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.