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Finding the Third Proportional to 75,091 and 164,948

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Solution

The third proportional to 75,091 and 164,948 is: 362,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,091 : 164,948 = 164,948 : x
  2. Step 2: Convert to fraction form
    75,091/164,948 = 164,948/x
  3. Step 3: Cross multiply
    75,091x = 164,948 × 164,948
  4. Step 4: Simplify right side
    75,091x = 27,207,842,704
  5. Step 5: Solve for x
    x = 27,207,842,704/75,091
  6. Step 6: Final answer
    x = 362,331.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.