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Finding the Third Proportional to 46,938 and 97,759

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Solution

The third proportional to 46,938 and 97,759 is: 203,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,938 : 97,759 = 97,759 : x
  2. Step 2: Convert to fraction form
    46,938/97,759 = 97,759/x
  3. Step 3: Cross multiply
    46,938x = 97,759 × 97,759
  4. Step 4: Simplify right side
    46,938x = 9,556,822,081
  5. Step 5: Solve for x
    x = 9,556,822,081/46,938
  6. Step 6: Final answer
    x = 203,605.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.