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Finding the Third Proportional to 46,202 and 100,174

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Solution

The third proportional to 46,202 and 100,174 is: 217,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202 : 100,174 = 100,174 : x
  2. Step 2: Convert to fraction form
    46,202/100,174 = 100,174/x
  3. Step 3: Cross multiply
    46,202x = 100,174 × 100,174
  4. Step 4: Simplify right side
    46,202x = 10,034,830,276
  5. Step 5: Solve for x
    x = 10,034,830,276/46,202
  6. Step 6: Final answer
    x = 217,194.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.