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Finding the Third Proportional to 53,277.75 and 81,739.13

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Solution

The third proportional to 53,277.75 and 81,739.13 is: 125,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,277.75 : 81,739.13 = 81,739.13 : x
  2. Step 2: Convert to fraction form
    53,277.75/81,739.13 = 81,739.13/x
  3. Step 3: Cross multiply
    53,277.75x = 81,739.13 × 81,739.13
  4. Step 4: Simplify right side
    53,277.75x = 6,681,284,555.77
  5. Step 5: Solve for x
    x = 6,681,284,555.77/53,277.75
  6. Step 6: Final answer
    x = 125,404.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.