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Finding the Third Proportional to 53,206 and 82,382

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Solution

The third proportional to 53,206 and 82,382 is: 127,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,206 : 82,382 = 82,382 : x
  2. Step 2: Convert to fraction form
    53,206/82,382 = 82,382/x
  3. Step 3: Cross multiply
    53,206x = 82,382 × 82,382
  4. Step 4: Simplify right side
    53,206x = 6,786,793,924
  5. Step 5: Solve for x
    x = 6,786,793,924/53,206
  6. Step 6: Final answer
    x = 127,556.93

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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.