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Finding the Third Proportional to 55,654 and 123,313

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Solution

The third proportional to 55,654 and 123,313 is: 273,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,654 : 123,313 = 123,313 : x
  2. Step 2: Convert to fraction form
    55,654/123,313 = 123,313/x
  3. Step 3: Cross multiply
    55,654x = 123,313 × 123,313
  4. Step 4: Simplify right side
    55,654x = 15,206,095,969
  5. Step 5: Solve for x
    x = 15,206,095,969/55,654
  6. Step 6: Final answer
    x = 273,225.57

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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.