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Finding the Third Proportional to 75,467 and 164,038

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Solution

The third proportional to 75,467 and 164,038 is: 356,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,467 : 164,038 = 164,038 : x
  2. Step 2: Convert to fraction form
    75,467/164,038 = 164,038/x
  3. Step 3: Cross multiply
    75,467x = 164,038 × 164,038
  4. Step 4: Simplify right side
    75,467x = 26,908,465,444
  5. Step 5: Solve for x
    x = 26,908,465,444/75,467
  6. Step 6: Final answer
    x = 356,559.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.