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Finding the Third Proportional to 112,694 and 169,491

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Solution

The third proportional to 112,694 and 169,491 is: 254,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,694 : 169,491 = 169,491 : x
  2. Step 2: Convert to fraction form
    112,694/169,491 = 169,491/x
  3. Step 3: Cross multiply
    112,694x = 169,491 × 169,491
  4. Step 4: Simplify right side
    112,694x = 28,727,199,081
  5. Step 5: Solve for x
    x = 28,727,199,081/112,694
  6. Step 6: Final answer
    x = 254,913.30

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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.