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Finding the Third Proportional to 74,766 and 165,987

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Solution

The third proportional to 74,766 and 165,987 is: 368,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,766 : 165,987 = 165,987 : x
  2. Step 2: Convert to fraction form
    74,766/165,987 = 165,987/x
  3. Step 3: Cross multiply
    74,766x = 165,987 × 165,987
  4. Step 4: Simplify right side
    74,766x = 27,551,684,169
  5. Step 5: Solve for x
    x = 27,551,684,169/74,766
  6. Step 6: Final answer
    x = 368,505.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.