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Finding the Third Proportional to 54,350 and 115,222

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Solution

The third proportional to 54,350 and 115,222 is: 244,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,350 : 115,222 = 115,222 : x
  2. Step 2: Convert to fraction form
    54,350/115,222 = 115,222/x
  3. Step 3: Cross multiply
    54,350x = 115,222 × 115,222
  4. Step 4: Simplify right side
    54,350x = 13,276,109,284
  5. Step 5: Solve for x
    x = 13,276,109,284/54,350
  6. Step 6: Final answer
    x = 244,270.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.