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Finding the Third Proportional to 79,537 and 173,068

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Solution

The third proportional to 79,537 and 173,068 is: 376,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,537 : 173,068 = 173,068 : x
  2. Step 2: Convert to fraction form
    79,537/173,068 = 173,068/x
  3. Step 3: Cross multiply
    79,537x = 173,068 × 173,068
  4. Step 4: Simplify right side
    79,537x = 29,952,532,624
  5. Step 5: Solve for x
    x = 29,952,532,624/79,537
  6. Step 6: Final answer
    x = 376,586.15

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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.