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Finding the Third Proportional to 75,030 and 164,823

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Solution

The third proportional to 75,030 and 164,823 is: 362,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,030 : 164,823 = 164,823 : x
  2. Step 2: Convert to fraction form
    75,030/164,823 = 164,823/x
  3. Step 3: Cross multiply
    75,030x = 164,823 × 164,823
  4. Step 4: Simplify right side
    75,030x = 27,166,621,329
  5. Step 5: Solve for x
    x = 27,166,621,329/75,030
  6. Step 6: Final answer
    x = 362,076.79

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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.