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Finding the Third Proportional to 106,956 and 160,434

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Solution

The third proportional to 106,956 and 160,434 is: 240,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,956 : 160,434 = 160,434 : x
  2. Step 2: Convert to fraction form
    106,956/160,434 = 160,434/x
  3. Step 3: Cross multiply
    106,956x = 160,434 × 160,434
  4. Step 4: Simplify right side
    106,956x = 25,739,068,356
  5. Step 5: Solve for x
    x = 25,739,068,356/106,956
  6. Step 6: Final answer
    x = 240,651

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.