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Finding the Third Proportional to 54,497 and 86,768

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Solution

The third proportional to 54,497 and 86,768 is: 138,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497 : 86,768 = 86,768 : x
  2. Step 2: Convert to fraction form
    54,497/86,768 = 86,768/x
  3. Step 3: Cross multiply
    54,497x = 86,768 × 86,768
  4. Step 4: Simplify right side
    54,497x = 7,528,685,824
  5. Step 5: Solve for x
    x = 7,528,685,824/54,497
  6. Step 6: Final answer
    x = 138,148.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.