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Finding the Third Proportional to 55,206.63 and 119,161.25

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Solution

The third proportional to 55,206.63 and 119,161.25 is: 257,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206.63 : 119,161.25 = 119,161.25 : x
  2. Step 2: Convert to fraction form
    55,206.63/119,161.25 = 119,161.25/x
  3. Step 3: Cross multiply
    55,206.63x = 119,161.25 × 119,161.25
  4. Step 4: Simplify right side
    55,206.63x = 14,199,403,501.56
  5. Step 5: Solve for x
    x = 14,199,403,501.56/55,206.63
  6. Step 6: Final answer
    x = 257,204.70

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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.