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Finding the Third Proportional to 79,888 and 175,481

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Solution

The third proportional to 79,888 and 175,481 is: 385,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,888 : 175,481 = 175,481 : x
  2. Step 2: Convert to fraction form
    79,888/175,481 = 175,481/x
  3. Step 3: Cross multiply
    79,888x = 175,481 × 175,481
  4. Step 4: Simplify right side
    79,888x = 30,793,581,361
  5. Step 5: Solve for x
    x = 30,793,581,361/79,888
  6. Step 6: Final answer
    x = 385,459.41

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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.