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Finding the Third Proportional to 46,754 and 102,588

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Solution

The third proportional to 46,754 and 102,588 is: 225,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,754 : 102,588 = 102,588 : x
  2. Step 2: Convert to fraction form
    46,754/102,588 = 102,588/x
  3. Step 3: Cross multiply
    46,754x = 102,588 × 102,588
  4. Step 4: Simplify right side
    46,754x = 10,524,297,744
  5. Step 5: Solve for x
    x = 10,524,297,744/46,754
  6. Step 6: Final answer
    x = 225,099.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.