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Finding the Third Proportional to 104,010 and 165,736

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Solution

The third proportional to 104,010 and 165,736 is: 264,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,010 : 165,736 = 165,736 : x
  2. Step 2: Convert to fraction form
    104,010/165,736 = 165,736/x
  3. Step 3: Cross multiply
    104,010x = 165,736 × 165,736
  4. Step 4: Simplify right side
    104,010x = 27,468,421,696
  5. Step 5: Solve for x
    x = 27,468,421,696/104,010
  6. Step 6: Final answer
    x = 264,094.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.