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Finding the Third Proportional to 112,454 and 169,896

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Solution

The third proportional to 112,454 and 169,896 is: 256,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,454 : 169,896 = 169,896 : x
  2. Step 2: Convert to fraction form
    112,454/169,896 = 169,896/x
  3. Step 3: Cross multiply
    112,454x = 169,896 × 169,896
  4. Step 4: Simplify right side
    112,454x = 28,864,650,816
  5. Step 5: Solve for x
    x = 28,864,650,816/112,454
  6. Step 6: Final answer
    x = 256,679.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.