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Finding the Third Proportional to 55,201.50 and 119,145.94

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Solution

The third proportional to 55,201.50 and 119,145.94 is: 257,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.50 : 119,145.94 = 119,145.94 : x
  2. Step 2: Convert to fraction form
    55,201.50/119,145.94 = 119,145.94/x
  3. Step 3: Cross multiply
    55,201.50x = 119,145.94 × 119,145.94
  4. Step 4: Simplify right side
    55,201.50x = 14,195,754,422.75
  5. Step 5: Solve for x
    x = 14,195,754,422.75/55,201.50
  6. Step 6: Final answer
    x = 257,162.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.