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Finding the Third Proportional to 52,422 and 83,383

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Solution

The third proportional to 52,422 and 83,383 is: 132,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,422 : 83,383 = 83,383 : x
  2. Step 2: Convert to fraction form
    52,422/83,383 = 83,383/x
  3. Step 3: Cross multiply
    52,422x = 83,383 × 83,383
  4. Step 4: Simplify right side
    52,422x = 6,952,724,689
  5. Step 5: Solve for x
    x = 6,952,724,689/52,422
  6. Step 6: Final answer
    x = 132,629.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.