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Finding the Third Proportional to 52,658 and 83,367

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Solution

The third proportional to 52,658 and 83,367 is: 131,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,658 : 83,367 = 83,367 : x
  2. Step 2: Convert to fraction form
    52,658/83,367 = 83,367/x
  3. Step 3: Cross multiply
    52,658x = 83,367 × 83,367
  4. Step 4: Simplify right side
    52,658x = 6,950,056,689
  5. Step 5: Solve for x
    x = 6,950,056,689/52,658
  6. Step 6: Final answer
    x = 131,984.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.