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Finding the Third Proportional to 85,354 and 133,900

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Solution

The third proportional to 85,354 and 133,900 is: 210,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,354 : 133,900 = 133,900 : x
  2. Step 2: Convert to fraction form
    85,354/133,900 = 133,900/x
  3. Step 3: Cross multiply
    85,354x = 133,900 × 133,900
  4. Step 4: Simplify right side
    85,354x = 17,929,210,000
  5. Step 5: Solve for x
    x = 17,929,210,000/85,354
  6. Step 6: Final answer
    x = 210,057.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.