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Finding the Third Proportional to 105,751 and 228,925

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Solution

The third proportional to 105,751 and 228,925 is: 495,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,751 : 228,925 = 228,925 : x
  2. Step 2: Convert to fraction form
    105,751/228,925 = 228,925/x
  3. Step 3: Cross multiply
    105,751x = 228,925 × 228,925
  4. Step 4: Simplify right side
    105,751x = 52,406,655,625
  5. Step 5: Solve for x
    x = 52,406,655,625/105,751
  6. Step 6: Final answer
    x = 495,566.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.