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Finding the Third Proportional to 51,499.50 and 108,535

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Solution

The third proportional to 51,499.50 and 108,535 is: 228,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,499.50 : 108,535 = 108,535 : x
  2. Step 2: Convert to fraction form
    51,499.50/108,535 = 108,535/x
  3. Step 3: Cross multiply
    51,499.50x = 108,535 × 108,535
  4. Step 4: Simplify right side
    51,499.50x = 11,779,846,225
  5. Step 5: Solve for x
    x = 11,779,846,225/51,499.50
  6. Step 6: Final answer
    x = 228,737.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.