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Finding the Third Proportional to 39,598 and 84,054

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Solution

The third proportional to 39,598 and 84,054 is: 178,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,598 : 84,054 = 84,054 : x
  2. Step 2: Convert to fraction form
    39,598/84,054 = 84,054/x
  3. Step 3: Cross multiply
    39,598x = 84,054 × 84,054
  4. Step 4: Simplify right side
    39,598x = 7,065,074,916
  5. Step 5: Solve for x
    x = 7,065,074,916/39,598
  6. Step 6: Final answer
    x = 178,419.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.