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Finding the Third Proportional to 46,959 and 104,416

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Solution

The third proportional to 46,959 and 104,416 is: 232,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,959 : 104,416 = 104,416 : x
  2. Step 2: Convert to fraction form
    46,959/104,416 = 104,416/x
  3. Step 3: Cross multiply
    46,959x = 104,416 × 104,416
  4. Step 4: Simplify right side
    46,959x = 10,902,701,056
  5. Step 5: Solve for x
    x = 10,902,701,056/46,959
  6. Step 6: Final answer
    x = 232,174.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.