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Finding the Third Proportional to 79,495 and 168,466

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Solution

The third proportional to 79,495 and 168,466 is: 357,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,495 : 168,466 = 168,466 : x
  2. Step 2: Convert to fraction form
    79,495/168,466 = 168,466/x
  3. Step 3: Cross multiply
    79,495x = 168,466 × 168,466
  4. Step 4: Simplify right side
    79,495x = 28,380,793,156
  5. Step 5: Solve for x
    x = 28,380,793,156/79,495
  6. Step 6: Final answer
    x = 357,013.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.