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Finding the Third Proportional to 112,659.75 and 173,957.06

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Solution

The third proportional to 112,659.75 and 173,957.06 is: 268,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,659.75 : 173,957.06 = 173,957.06 : x
  2. Step 2: Convert to fraction form
    112,659.75/173,957.06 = 173,957.06/x
  3. Step 3: Cross multiply
    112,659.75x = 173,957.06 × 173,957.06
  4. Step 4: Simplify right side
    112,659.75x = 30,261,059,593.63
  5. Step 5: Solve for x
    x = 30,261,059,593.63/112,659.75
  6. Step 6: Final answer
    x = 268,605.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.