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Finding the Third Proportional to 58,729.50 and 129,123

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Solution

The third proportional to 58,729.50 and 129,123 is: 283,890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,729.50 : 129,123 = 129,123 : x
  2. Step 2: Convert to fraction form
    58,729.50/129,123 = 129,123/x
  3. Step 3: Cross multiply
    58,729.50x = 129,123 × 129,123
  4. Step 4: Simplify right side
    58,729.50x = 16,672,749,129
  5. Step 5: Solve for x
    x = 16,672,749,129/58,729.50
  6. Step 6: Final answer
    x = 283,890.53

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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.