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Finding the Third Proportional to 53,693.25 and 82,568.25

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Solution

The third proportional to 53,693.25 and 82,568.25 is: 126,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,693.25 : 82,568.25 = 82,568.25 : x
  2. Step 2: Convert to fraction form
    53,693.25/82,568.25 = 82,568.25/x
  3. Step 3: Cross multiply
    53,693.25x = 82,568.25 × 82,568.25
  4. Step 4: Simplify right side
    53,693.25x = 6,817,515,908.06
  5. Step 5: Solve for x
    x = 6,817,515,908.06/53,693.25
  6. Step 6: Final answer
    x = 126,971.56

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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.