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Finding the Third Proportional to 52,338 and 77,491

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Solution

The third proportional to 52,338 and 77,491 is: 114,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338 : 77,491 = 77,491 : x
  2. Step 2: Convert to fraction form
    52,338/77,491 = 77,491/x
  3. Step 3: Cross multiply
    52,338x = 77,491 × 77,491
  4. Step 4: Simplify right side
    52,338x = 6,004,855,081
  5. Step 5: Solve for x
    x = 6,004,855,081/52,338
  6. Step 6: Final answer
    x = 114,732.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.