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Finding the Third Proportional to 81,448 and 173,648

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Solution

The third proportional to 81,448 and 173,648 is: 370,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,448 : 173,648 = 173,648 : x
  2. Step 2: Convert to fraction form
    81,448/173,648 = 173,648/x
  3. Step 3: Cross multiply
    81,448x = 173,648 × 173,648
  4. Step 4: Simplify right side
    81,448x = 30,153,627,904
  5. Step 5: Solve for x
    x = 30,153,627,904/81,448
  6. Step 6: Final answer
    x = 370,219.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.