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Finding the Third Proportional to 51,126.50 and 73,184

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Solution

The third proportional to 51,126.50 and 73,184 is: 104,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,126.50 : 73,184 = 73,184 : x
  2. Step 2: Convert to fraction form
    51,126.50/73,184 = 73,184/x
  3. Step 3: Cross multiply
    51,126.50x = 73,184 × 73,184
  4. Step 4: Simplify right side
    51,126.50x = 5,355,897,856
  5. Step 5: Solve for x
    x = 5,355,897,856/51,126.50
  6. Step 6: Final answer
    x = 104,757.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.