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Finding the Third Proportional to 54,476 and 79,552

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Solution

The third proportional to 54,476 and 79,552 is: 116,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,476 : 79,552 = 79,552 : x
  2. Step 2: Convert to fraction form
    54,476/79,552 = 79,552/x
  3. Step 3: Cross multiply
    54,476x = 79,552 × 79,552
  4. Step 4: Simplify right side
    54,476x = 6,328,520,704
  5. Step 5: Solve for x
    x = 6,328,520,704/54,476
  6. Step 6: Final answer
    x = 116,170.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.