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Finding the Third Proportional to 53,732.25 and 82,852.75

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Solution

The third proportional to 53,732.25 and 82,852.75 is: 127,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,732.25 : 82,852.75 = 82,852.75 : x
  2. Step 2: Convert to fraction form
    53,732.25/82,852.75 = 82,852.75/x
  3. Step 3: Cross multiply
    53,732.25x = 82,852.75 × 82,852.75
  4. Step 4: Simplify right side
    53,732.25x = 6,864,578,182.56
  5. Step 5: Solve for x
    x = 6,864,578,182.56/53,732.25
  6. Step 6: Final answer
    x = 127,755.27

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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.