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Finding the Third Proportional to 100,321 and 134,281

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Solution

The third proportional to 100,321 and 134,281 is: 179,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,321 : 134,281 = 134,281 : x
  2. Step 2: Convert to fraction form
    100,321/134,281 = 134,281/x
  3. Step 3: Cross multiply
    100,321x = 134,281 × 134,281
  4. Step 4: Simplify right side
    100,321x = 18,031,386,961
  5. Step 5: Solve for x
    x = 18,031,386,961/100,321
  6. Step 6: Final answer
    x = 179,736.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.