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Finding the Third Proportional to 51,342 and 76,671

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Solution

The third proportional to 51,342 and 76,671 is: 114,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,342 : 76,671 = 76,671 : x
  2. Step 2: Convert to fraction form
    51,342/76,671 = 76,671/x
  3. Step 3: Cross multiply
    51,342x = 76,671 × 76,671
  4. Step 4: Simplify right side
    51,342x = 5,878,442,241
  5. Step 5: Solve for x
    x = 5,878,442,241/51,342
  6. Step 6: Final answer
    x = 114,495.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.