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Finding the Third Proportional to 79,624.50 and 172,533

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Solution

The third proportional to 79,624.50 and 172,533 is: 373,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,624.50 : 172,533 = 172,533 : x
  2. Step 2: Convert to fraction form
    79,624.50/172,533 = 172,533/x
  3. Step 3: Cross multiply
    79,624.50x = 172,533 × 172,533
  4. Step 4: Simplify right side
    79,624.50x = 29,767,636,089
  5. Step 5: Solve for x
    x = 29,767,636,089/79,624.50
  6. Step 6: Final answer
    x = 373,850.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.