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Finding the Third Proportional to 54,399 and 97,008

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Solution

The third proportional to 54,399 and 97,008 is: 172,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,399 : 97,008 = 97,008 : x
  2. Step 2: Convert to fraction form
    54,399/97,008 = 97,008/x
  3. Step 3: Cross multiply
    54,399x = 97,008 × 97,008
  4. Step 4: Simplify right side
    54,399x = 9,410,552,064
  5. Step 5: Solve for x
    x = 9,410,552,064/54,399
  6. Step 6: Final answer
    x = 172,991.27

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.