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Finding the Third Proportional to 82,159 and 179,639

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Solution

The third proportional to 82,159 and 179,639 is: 392,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,159 : 179,639 = 179,639 : x
  2. Step 2: Convert to fraction form
    82,159/179,639 = 179,639/x
  3. Step 3: Cross multiply
    82,159x = 179,639 × 179,639
  4. Step 4: Simplify right side
    82,159x = 32,270,170,321
  5. Step 5: Solve for x
    x = 32,270,170,321/82,159
  6. Step 6: Final answer
    x = 392,777.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.