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Finding the Third Proportional to 53,700.75 and 81,965.25

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Solution

The third proportional to 53,700.75 and 81,965.25 is: 125,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,700.75 : 81,965.25 = 81,965.25 : x
  2. Step 2: Convert to fraction form
    53,700.75/81,965.25 = 81,965.25/x
  3. Step 3: Cross multiply
    53,700.75x = 81,965.25 × 81,965.25
  4. Step 4: Simplify right side
    53,700.75x = 6,718,302,207.56
  5. Step 5: Solve for x
    x = 6,718,302,207.56/53,700.75
  6. Step 6: Final answer
    x = 125,106.30

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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.