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Finding the Third Proportional to 54,363 and 76,554

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Solution

The third proportional to 54,363 and 76,554 is: 107,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,363 : 76,554 = 76,554 : x
  2. Step 2: Convert to fraction form
    54,363/76,554 = 76,554/x
  3. Step 3: Cross multiply
    54,363x = 76,554 × 76,554
  4. Step 4: Simplify right side
    54,363x = 5,860,514,916
  5. Step 5: Solve for x
    x = 5,860,514,916/54,363
  6. Step 6: Final answer
    x = 107,803.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.