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Finding the Third Proportional to 104,770.97 and 165,972.80

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Solution

The third proportional to 104,770.97 and 165,972.80 is: 262,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,770.97 : 165,972.80 = 165,972.80 : x
  2. Step 2: Convert to fraction form
    104,770.97/165,972.80 = 165,972.80/x
  3. Step 3: Cross multiply
    104,770.97x = 165,972.80 × 165,972.80
  4. Step 4: Simplify right side
    104,770.97x = 27,546,969,302.51
  5. Step 5: Solve for x
    x = 27,546,969,302.51/104,770.97
  6. Step 6: Final answer
    x = 262,925.60

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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.