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Finding the Third Proportional to 104,090.50 and 164,662.75

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Solution

The third proportional to 104,090.50 and 164,662.75 is: 260,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,090.50 : 164,662.75 = 164,662.75 : x
  2. Step 2: Convert to fraction form
    104,090.50/164,662.75 = 164,662.75/x
  3. Step 3: Cross multiply
    104,090.50x = 164,662.75 × 164,662.75
  4. Step 4: Simplify right side
    104,090.50x = 27,113,821,237.56
  5. Step 5: Solve for x
    x = 27,113,821,237.56/104,090.50
  6. Step 6: Final answer
    x = 260,483.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.