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Finding the Third Proportional to 79,476 and 174,124

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Solution

The third proportional to 79,476 and 174,124 is: 381,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,476 : 174,124 = 174,124 : x
  2. Step 2: Convert to fraction form
    79,476/174,124 = 174,124/x
  3. Step 3: Cross multiply
    79,476x = 174,124 × 174,124
  4. Step 4: Simplify right side
    79,476x = 30,319,167,376
  5. Step 5: Solve for x
    x = 30,319,167,376/79,476
  6. Step 6: Final answer
    x = 381,488.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.