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Finding the Third Proportional to 55,623.56 and 115,189.69

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Solution

The third proportional to 55,623.56 and 115,189.69 is: 238,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,623.56 : 115,189.69 = 115,189.69 : x
  2. Step 2: Convert to fraction form
    55,623.56/115,189.69 = 115,189.69/x
  3. Step 3: Cross multiply
    55,623.56x = 115,189.69 × 115,189.69
  4. Step 4: Simplify right side
    55,623.56x = 13,268,664,106.35
  5. Step 5: Solve for x
    x = 13,268,664,106.35/55,623.56
  6. Step 6: Final answer
    x = 238,543.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.