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Finding the Third Proportional to 55,568 and 121,677

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Solution

The third proportional to 55,568 and 121,677 is: 266,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,568 : 121,677 = 121,677 : x
  2. Step 2: Convert to fraction form
    55,568/121,677 = 121,677/x
  3. Step 3: Cross multiply
    55,568x = 121,677 × 121,677
  4. Step 4: Simplify right side
    55,568x = 14,805,292,329
  5. Step 5: Solve for x
    x = 14,805,292,329/55,568
  6. Step 6: Final answer
    x = 266,435.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.