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Finding the Third Proportional to 51,564 and 108,656

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Solution

The third proportional to 51,564 and 108,656 is: 228,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,564 : 108,656 = 108,656 : x
  2. Step 2: Convert to fraction form
    51,564/108,656 = 108,656/x
  3. Step 3: Cross multiply
    51,564x = 108,656 × 108,656
  4. Step 4: Simplify right side
    51,564x = 11,806,126,336
  5. Step 5: Solve for x
    x = 11,806,126,336/51,564
  6. Step 6: Final answer
    x = 228,960.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.