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Finding the Third Proportional to 53,292 and 82,010

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Solution

The third proportional to 53,292 and 82,010 is: 126,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,292 : 82,010 = 82,010 : x
  2. Step 2: Convert to fraction form
    53,292/82,010 = 82,010/x
  3. Step 3: Cross multiply
    53,292x = 82,010 × 82,010
  4. Step 4: Simplify right side
    53,292x = 6,725,640,100
  5. Step 5: Solve for x
    x = 6,725,640,100/53,292
  6. Step 6: Final answer
    x = 126,203.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.