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Finding the Third Proportional to 112,999.50 and 170,956.97

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Solution

The third proportional to 112,999.50 and 170,956.97 is: 258,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,999.50 : 170,956.97 = 170,956.97 : x
  2. Step 2: Convert to fraction form
    112,999.50/170,956.97 = 170,956.97/x
  3. Step 3: Cross multiply
    112,999.50x = 170,956.97 × 170,956.97
  4. Step 4: Simplify right side
    112,999.50x = 29,226,285,164.19
  5. Step 5: Solve for x
    x = 29,226,285,164.19/112,999.50
  6. Step 6: Final answer
    x = 258,640.84

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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.