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Finding the Third Proportional to 82,535.76 and 131,292.62

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Solution

The third proportional to 82,535.76 and 131,292.62 is: 208,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,535.76 : 131,292.62 = 131,292.62 : x
  2. Step 2: Convert to fraction form
    82,535.76/131,292.62 = 131,292.62/x
  3. Step 3: Cross multiply
    82,535.76x = 131,292.62 × 131,292.62
  4. Step 4: Simplify right side
    82,535.76x = 17,237,750,815.08
  5. Step 5: Solve for x
    x = 17,237,750,815.08/82,535.76
  6. Step 6: Final answer
    x = 208,851.91

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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.