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Finding the Third Proportional to 46,940 and 97,763

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Solution

The third proportional to 46,940 and 97,763 is: 203,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,940 : 97,763 = 97,763 : x
  2. Step 2: Convert to fraction form
    46,940/97,763 = 97,763/x
  3. Step 3: Cross multiply
    46,940x = 97,763 × 97,763
  4. Step 4: Simplify right side
    46,940x = 9,557,604,169
  5. Step 5: Solve for x
    x = 9,557,604,169/46,940
  6. Step 6: Final answer
    x = 203,613.21

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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.