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Finding the Third Proportional to 113,224 and 173,448

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Solution

The third proportional to 113,224 and 173,448 is: 265,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,224 : 173,448 = 173,448 : x
  2. Step 2: Convert to fraction form
    113,224/173,448 = 173,448/x
  3. Step 3: Cross multiply
    113,224x = 173,448 × 173,448
  4. Step 4: Simplify right side
    113,224x = 30,084,208,704
  5. Step 5: Solve for x
    x = 30,084,208,704/113,224
  6. Step 6: Final answer
    x = 265,705.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.