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Finding the Third Proportional to 75,013 and 177,073

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Solution

The third proportional to 75,013 and 177,073 is: 417,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,013 : 177,073 = 177,073 : x
  2. Step 2: Convert to fraction form
    75,013/177,073 = 177,073/x
  3. Step 3: Cross multiply
    75,013x = 177,073 × 177,073
  4. Step 4: Simplify right side
    75,013x = 31,354,847,329
  5. Step 5: Solve for x
    x = 31,354,847,329/75,013
  6. Step 6: Final answer
    x = 417,992.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.