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Finding the Third Proportional to 79,903 and 177,541

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Solution

The third proportional to 79,903 and 177,541 is: 394,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,903 : 177,541 = 177,541 : x
  2. Step 2: Convert to fraction form
    79,903/177,541 = 177,541/x
  3. Step 3: Cross multiply
    79,903x = 177,541 × 177,541
  4. Step 4: Simplify right side
    79,903x = 31,520,806,681
  5. Step 5: Solve for x
    x = 31,520,806,681/79,903
  6. Step 6: Final answer
    x = 394,488.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.