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Finding the Third Proportional to 79,454 and 174,703

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Solution

The third proportional to 79,454 and 174,703 is: 384,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,454 : 174,703 = 174,703 : x
  2. Step 2: Convert to fraction form
    79,454/174,703 = 174,703/x
  3. Step 3: Cross multiply
    79,454x = 174,703 × 174,703
  4. Step 4: Simplify right side
    79,454x = 30,521,138,209
  5. Step 5: Solve for x
    x = 30,521,138,209/79,454
  6. Step 6: Final answer
    x = 384,135.96

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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.