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Finding the Third Proportional to 82,465 and 179,742

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Solution

The third proportional to 82,465 and 179,742 is: 391,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,465 : 179,742 = 179,742 : x
  2. Step 2: Convert to fraction form
    82,465/179,742 = 179,742/x
  3. Step 3: Cross multiply
    82,465x = 179,742 × 179,742
  4. Step 4: Simplify right side
    82,465x = 32,307,186,564
  5. Step 5: Solve for x
    x = 32,307,186,564/82,465
  6. Step 6: Final answer
    x = 391,768.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.