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Finding the Third Proportional to 54,174 and 86,509

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Solution

The third proportional to 54,174 and 86,509 is: 138,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,174 : 86,509 = 86,509 : x
  2. Step 2: Convert to fraction form
    54,174/86,509 = 86,509/x
  3. Step 3: Cross multiply
    54,174x = 86,509 × 86,509
  4. Step 4: Simplify right side
    54,174x = 7,483,807,081
  5. Step 5: Solve for x
    x = 7,483,807,081/54,174
  6. Step 6: Final answer
    x = 138,143.89

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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.