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Finding the Third Proportional to 58,753.50 and 129,171

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Solution

The third proportional to 58,753.50 and 129,171 is: 283,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,753.50 : 129,171 = 129,171 : x
  2. Step 2: Convert to fraction form
    58,753.50/129,171 = 129,171/x
  3. Step 3: Cross multiply
    58,753.50x = 129,171 × 129,171
  4. Step 4: Simplify right side
    58,753.50x = 16,685,147,241
  5. Step 5: Solve for x
    x = 16,685,147,241/58,753.50
  6. Step 6: Final answer
    x = 283,985.59

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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.