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Finding the Third Proportional to 104,004 and 166,590

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Solution

The third proportional to 104,004 and 166,590 is: 266,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,004 : 166,590 = 166,590 : x
  2. Step 2: Convert to fraction form
    104,004/166,590 = 166,590/x
  3. Step 3: Cross multiply
    104,004x = 166,590 × 166,590
  4. Step 4: Simplify right side
    104,004x = 27,752,228,100
  5. Step 5: Solve for x
    x = 27,752,228,100/104,004
  6. Step 6: Final answer
    x = 266,838.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.