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Finding the Third Proportional to 53,229 and 82,406

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Solution

The third proportional to 53,229 and 82,406 is: 127,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,229 : 82,406 = 82,406 : x
  2. Step 2: Convert to fraction form
    53,229/82,406 = 82,406/x
  3. Step 3: Cross multiply
    53,229x = 82,406 × 82,406
  4. Step 4: Simplify right side
    53,229x = 6,790,748,836
  5. Step 5: Solve for x
    x = 6,790,748,836/53,229
  6. Step 6: Final answer
    x = 127,576.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.