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Finding the Third Proportional to 55,556.44 and 119,800.13

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Solution

The third proportional to 55,556.44 and 119,800.13 is: 258,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,556.44 : 119,800.13 = 119,800.13 : x
  2. Step 2: Convert to fraction form
    55,556.44/119,800.13 = 119,800.13/x
  3. Step 3: Cross multiply
    55,556.44x = 119,800.13 × 119,800.13
  4. Step 4: Simplify right side
    55,556.44x = 14,352,069,950.02
  5. Step 5: Solve for x
    x = 14,352,069,950.02/55,556.44
  6. Step 6: Final answer
    x = 258,333.16

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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.