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Finding the Third Proportional to 74,666 and 115,779

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Solution

The third proportional to 74,666 and 115,779 is: 179,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,666 : 115,779 = 115,779 : x
  2. Step 2: Convert to fraction form
    74,666/115,779 = 115,779/x
  3. Step 3: Cross multiply
    74,666x = 115,779 × 115,779
  4. Step 4: Simplify right side
    74,666x = 13,404,776,841
  5. Step 5: Solve for x
    x = 13,404,776,841/74,666
  6. Step 6: Final answer
    x = 179,529.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.