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Finding the Third Proportional to 110,448 and 172,224

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Solution

The third proportional to 110,448 and 172,224 is: 268,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,448 : 172,224 = 172,224 : x
  2. Step 2: Convert to fraction form
    110,448/172,224 = 172,224/x
  3. Step 3: Cross multiply
    110,448x = 172,224 × 172,224
  4. Step 4: Simplify right side
    110,448x = 29,661,106,176
  5. Step 5: Solve for x
    x = 29,661,106,176/110,448
  6. Step 6: Final answer
    x = 268,552.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.