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Finding the Third Proportional to 53,216 and 82,396

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Solution

The third proportional to 53,216 and 82,396 is: 127,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,216 : 82,396 = 82,396 : x
  2. Step 2: Convert to fraction form
    53,216/82,396 = 82,396/x
  3. Step 3: Cross multiply
    53,216x = 82,396 × 82,396
  4. Step 4: Simplify right side
    53,216x = 6,789,100,816
  5. Step 5: Solve for x
    x = 6,789,100,816/53,216
  6. Step 6: Final answer
    x = 127,576.31

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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.