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Finding the Third Proportional to 82,806.19 and 131,337

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Solution

The third proportional to 82,806.19 and 131,337 is: 208,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,806.19 : 131,337 = 131,337 : x
  2. Step 2: Convert to fraction form
    82,806.19/131,337 = 131,337/x
  3. Step 3: Cross multiply
    82,806.19x = 131,337 × 131,337
  4. Step 4: Simplify right side
    82,806.19x = 17,249,407,569
  5. Step 5: Solve for x
    x = 17,249,407,569/82,806.19
  6. Step 6: Final answer
    x = 208,310.61

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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.