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Finding the Third Proportional to 53,486 and 82,219

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Solution

The third proportional to 53,486 and 82,219 is: 126,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,486 : 82,219 = 82,219 : x
  2. Step 2: Convert to fraction form
    53,486/82,219 = 82,219/x
  3. Step 3: Cross multiply
    53,486x = 82,219 × 82,219
  4. Step 4: Simplify right side
    53,486x = 6,759,963,961
  5. Step 5: Solve for x
    x = 6,759,963,961/53,486
  6. Step 6: Final answer
    x = 126,387.54

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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.