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Finding the Third Proportional to 55,657.13 and 123,771.38

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Solution

The third proportional to 55,657.13 and 123,771.38 is: 275,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,657.13 : 123,771.38 = 123,771.38 : x
  2. Step 2: Convert to fraction form
    55,657.13/123,771.38 = 123,771.38/x
  3. Step 3: Cross multiply
    55,657.13x = 123,771.38 × 123,771.38
  4. Step 4: Simplify right side
    55,657.13x = 15,319,353,269.39
  5. Step 5: Solve for x
    x = 15,319,353,269.39/55,657.13
  6. Step 6: Final answer
    x = 275,245.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.