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Finding the Third Proportional to 55,776 and 119,184

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Solution

The third proportional to 55,776 and 119,184 is: 254,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,776 : 119,184 = 119,184 : x
  2. Step 2: Convert to fraction form
    55,776/119,184 = 119,184/x
  3. Step 3: Cross multiply
    55,776x = 119,184 × 119,184
  4. Step 4: Simplify right side
    55,776x = 14,204,825,856
  5. Step 5: Solve for x
    x = 14,204,825,856/55,776
  6. Step 6: Final answer
    x = 254,676.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.