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Finding the Third Proportional to 79,025.50 and 172,253

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Solution

The third proportional to 79,025.50 and 172,253 is: 375,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,025.50 : 172,253 = 172,253 : x
  2. Step 2: Convert to fraction form
    79,025.50/172,253 = 172,253/x
  3. Step 3: Cross multiply
    79,025.50x = 172,253 × 172,253
  4. Step 4: Simplify right side
    79,025.50x = 29,671,096,009
  5. Step 5: Solve for x
    x = 29,671,096,009/79,025.50
  6. Step 6: Final answer
    x = 375,462.30

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