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Finding the Third Proportional to 54,634 and 82,453

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Solution

The third proportional to 54,634 and 82,453 is: 124,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634 : 82,453 = 82,453 : x
  2. Step 2: Convert to fraction form
    54,634/82,453 = 82,453/x
  3. Step 3: Cross multiply
    54,634x = 82,453 × 82,453
  4. Step 4: Simplify right side
    54,634x = 6,798,497,209
  5. Step 5: Solve for x
    x = 6,798,497,209/54,634
  6. Step 6: Final answer
    x = 124,437.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.