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Finding the Third Proportional to 54,864 and 88,344

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Solution

The third proportional to 54,864 and 88,344 is: 142,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,864 : 88,344 = 88,344 : x
  2. Step 2: Convert to fraction form
    54,864/88,344 = 88,344/x
  3. Step 3: Cross multiply
    54,864x = 88,344 × 88,344
  4. Step 4: Simplify right side
    54,864x = 7,804,662,336
  5. Step 5: Solve for x
    x = 7,804,662,336/54,864
  6. Step 6: Final answer
    x = 142,254.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.