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Finding the Third Proportional to 53,710.59 and 82,282.08

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Solution

The third proportional to 53,710.59 and 82,282.08 is: 126,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710.59 : 82,282.08 = 82,282.08 : x
  2. Step 2: Convert to fraction form
    53,710.59/82,282.08 = 82,282.08/x
  3. Step 3: Cross multiply
    53,710.59x = 82,282.08 × 82,282.08
  4. Step 4: Simplify right side
    53,710.59x = 6,770,340,380.57
  5. Step 5: Solve for x
    x = 6,770,340,380.57/53,710.59
  6. Step 6: Final answer
    x = 126,052.23

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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.