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Finding the Third Proportional to 87,493.50 and 187,420.50

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Solution

The third proportional to 87,493.50 and 187,420.50 is: 401,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,493.50 : 187,420.50 = 187,420.50 : x
  2. Step 2: Convert to fraction form
    87,493.50/187,420.50 = 187,420.50/x
  3. Step 3: Cross multiply
    87,493.50x = 187,420.50 × 187,420.50
  4. Step 4: Simplify right side
    87,493.50x = 35,126,443,820.25
  5. Step 5: Solve for x
    x = 35,126,443,820.25/87,493.50
  6. Step 6: Final answer
    x = 401,474.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.