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Finding the Third Proportional to 54,046 and 86,339

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Solution

The third proportional to 54,046 and 86,339 is: 137,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,046 : 86,339 = 86,339 : x
  2. Step 2: Convert to fraction form
    54,046/86,339 = 86,339/x
  3. Step 3: Cross multiply
    54,046x = 86,339 × 86,339
  4. Step 4: Simplify right side
    54,046x = 7,454,422,921
  5. Step 5: Solve for x
    x = 7,454,422,921/54,046
  6. Step 6: Final answer
    x = 137,927.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.