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Finding the Third Proportional to 55,089.19 and 123,660.38

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Solution

The third proportional to 55,089.19 and 123,660.38 is: 277,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,089.19 : 123,660.38 = 123,660.38 : x
  2. Step 2: Convert to fraction form
    55,089.19/123,660.38 = 123,660.38/x
  3. Step 3: Cross multiply
    55,089.19x = 123,660.38 × 123,660.38
  4. Step 4: Simplify right side
    55,089.19x = 15,291,888,345.14
  5. Step 5: Solve for x
    x = 15,291,888,345.14/55,089.19
  6. Step 6: Final answer
    x = 277,584.21

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.