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Finding the Third Proportional to 46,134.50 and 100,265

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Solution

The third proportional to 46,134.50 and 100,265 is: 217,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,134.50 : 100,265 = 100,265 : x
  2. Step 2: Convert to fraction form
    46,134.50/100,265 = 100,265/x
  3. Step 3: Cross multiply
    46,134.50x = 100,265 × 100,265
  4. Step 4: Simplify right side
    46,134.50x = 10,053,070,225
  5. Step 5: Solve for x
    x = 10,053,070,225/46,134.50
  6. Step 6: Final answer
    x = 217,907.86

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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.