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Finding the Third Proportional to 79,186.50 and 172,575

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Solution

The third proportional to 79,186.50 and 172,575 is: 376,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,186.50 : 172,575 = 172,575 : x
  2. Step 2: Convert to fraction form
    79,186.50/172,575 = 172,575/x
  3. Step 3: Cross multiply
    79,186.50x = 172,575 × 172,575
  4. Step 4: Simplify right side
    79,186.50x = 29,782,130,625
  5. Step 5: Solve for x
    x = 29,782,130,625/79,186.50
  6. Step 6: Final answer
    x = 376,101.11

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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.