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Finding the Third Proportional to 54,928 and 117,264

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Solution

The third proportional to 54,928 and 117,264 is: 250,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,928 : 117,264 = 117,264 : x
  2. Step 2: Convert to fraction form
    54,928/117,264 = 117,264/x
  3. Step 3: Cross multiply
    54,928x = 117,264 × 117,264
  4. Step 4: Simplify right side
    54,928x = 13,750,845,696
  5. Step 5: Solve for x
    x = 13,750,845,696/54,928
  6. Step 6: Final answer
    x = 250,343.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.