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Finding the Third Proportional to 46,940 and 69,159

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Solution

The third proportional to 46,940 and 69,159 is: 101,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,940 : 69,159 = 69,159 : x
  2. Step 2: Convert to fraction form
    46,940/69,159 = 69,159/x
  3. Step 3: Cross multiply
    46,940x = 69,159 × 69,159
  4. Step 4: Simplify right side
    46,940x = 4,782,967,281
  5. Step 5: Solve for x
    x = 4,782,967,281/46,940
  6. Step 6: Final answer
    x = 101,895.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.