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Finding the Third Proportional to 49,865 and 76,643

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Solution

The third proportional to 49,865 and 76,643 is: 117,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,865 : 76,643 = 76,643 : x
  2. Step 2: Convert to fraction form
    49,865/76,643 = 76,643/x
  3. Step 3: Cross multiply
    49,865x = 76,643 × 76,643
  4. Step 4: Simplify right side
    49,865x = 5,874,149,449
  5. Step 5: Solve for x
    x = 5,874,149,449/49,865
  6. Step 6: Final answer
    x = 117,801.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.