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Finding the Third Proportional to 53,490.75 and 82,542.75

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Solution

The third proportional to 53,490.75 and 82,542.75 is: 127,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490.75 : 82,542.75 = 82,542.75 : x
  2. Step 2: Convert to fraction form
    53,490.75/82,542.75 = 82,542.75/x
  3. Step 3: Cross multiply
    53,490.75x = 82,542.75 × 82,542.75
  4. Step 4: Simplify right side
    53,490.75x = 6,813,305,577.56
  5. Step 5: Solve for x
    x = 6,813,305,577.56/53,490.75
  6. Step 6: Final answer
    x = 127,373.53

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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.