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Finding the Third Proportional to 46,185 and 69,174

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Solution

The third proportional to 46,185 and 69,174 is: 103,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,185 : 69,174 = 69,174 : x
  2. Step 2: Convert to fraction form
    46,185/69,174 = 69,174/x
  3. Step 3: Cross multiply
    46,185x = 69,174 × 69,174
  4. Step 4: Simplify right side
    46,185x = 4,785,042,276
  5. Step 5: Solve for x
    x = 4,785,042,276/46,185
  6. Step 6: Final answer
    x = 103,605.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.