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Finding the Third Proportional to 51,884 and 78,294

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Solution

The third proportional to 51,884 and 78,294 is: 118,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884 : 78,294 = 78,294 : x
  2. Step 2: Convert to fraction form
    51,884/78,294 = 78,294/x
  3. Step 3: Cross multiply
    51,884x = 78,294 × 78,294
  4. Step 4: Simplify right side
    51,884x = 6,129,950,436
  5. Step 5: Solve for x
    x = 6,129,950,436/51,884
  6. Step 6: Final answer
    x = 118,147.22

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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.