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Finding the Third Proportional to 46,153 and 108,889

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Solution

The third proportional to 46,153 and 108,889 is: 256,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,153 : 108,889 = 108,889 : x
  2. Step 2: Convert to fraction form
    46,153/108,889 = 108,889/x
  3. Step 3: Cross multiply
    46,153x = 108,889 × 108,889
  4. Step 4: Simplify right side
    46,153x = 11,856,814,321
  5. Step 5: Solve for x
    x = 11,856,814,321/46,153
  6. Step 6: Final answer
    x = 256,902.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.