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Finding the Third Proportional to 111,454 and 169,311

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Solution

The third proportional to 111,454 and 169,311 is: 257,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,454 : 169,311 = 169,311 : x
  2. Step 2: Convert to fraction form
    111,454/169,311 = 169,311/x
  3. Step 3: Cross multiply
    111,454x = 169,311 × 169,311
  4. Step 4: Simplify right side
    111,454x = 28,666,214,721
  5. Step 5: Solve for x
    x = 28,666,214,721/111,454
  6. Step 6: Final answer
    x = 257,202.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.