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Finding the Third Proportional to 82,613.63 and 131,301.75

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Solution

The third proportional to 82,613.63 and 131,301.75 is: 208,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,613.63 : 131,301.75 = 131,301.75 : x
  2. Step 2: Convert to fraction form
    82,613.63/131,301.75 = 131,301.75/x
  3. Step 3: Cross multiply
    82,613.63x = 131,301.75 × 131,301.75
  4. Step 4: Simplify right side
    82,613.63x = 17,240,149,553.06
  5. Step 5: Solve for x
    x = 17,240,149,553.06/82,613.63
  6. Step 6: Final answer
    x = 208,684.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.