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Finding the Third Proportional to 79,952.50 and 176,003

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Solution

The third proportional to 79,952.50 and 176,003 is: 387,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,952.50 : 176,003 = 176,003 : x
  2. Step 2: Convert to fraction form
    79,952.50/176,003 = 176,003/x
  3. Step 3: Cross multiply
    79,952.50x = 176,003 × 176,003
  4. Step 4: Simplify right side
    79,952.50x = 30,977,056,009
  5. Step 5: Solve for x
    x = 30,977,056,009/79,952.50
  6. Step 6: Final answer
    x = 387,443.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.