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Finding the Third Proportional to 75,028 and 164,819

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Solution

The third proportional to 75,028 and 164,819 is: 362,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,028 : 164,819 = 164,819 : x
  2. Step 2: Convert to fraction form
    75,028/164,819 = 164,819/x
  3. Step 3: Cross multiply
    75,028x = 164,819 × 164,819
  4. Step 4: Simplify right side
    75,028x = 27,165,302,761
  5. Step 5: Solve for x
    x = 27,165,302,761/75,028
  6. Step 6: Final answer
    x = 362,068.86

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Why These Related Problems?

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