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Finding the Third Proportional to 54,222 and 117,492.75

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Solution

The third proportional to 54,222 and 117,492.75 is: 254,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,222 : 117,492.75 = 117,492.75 : x
  2. Step 2: Convert to fraction form
    54,222/117,492.75 = 117,492.75/x
  3. Step 3: Cross multiply
    54,222x = 117,492.75 × 117,492.75
  4. Step 4: Simplify right side
    54,222x = 13,804,546,302.56
  5. Step 5: Solve for x
    x = 13,804,546,302.56/54,222
  6. Step 6: Final answer
    x = 254,593.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.