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Finding the Third Proportional to 55,696 and 121,554

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Solution

The third proportional to 55,696 and 121,554 is: 265,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,696 : 121,554 = 121,554 : x
  2. Step 2: Convert to fraction form
    55,696/121,554 = 121,554/x
  3. Step 3: Cross multiply
    55,696x = 121,554 × 121,554
  4. Step 4: Simplify right side
    55,696x = 14,775,374,916
  5. Step 5: Solve for x
    x = 14,775,374,916/55,696
  6. Step 6: Final answer
    x = 265,286.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.