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Finding the Third Proportional to 112,306.50 and 169,629.75

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Solution

The third proportional to 112,306.50 and 169,629.75 is: 256,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,306.50 : 169,629.75 = 169,629.75 : x
  2. Step 2: Convert to fraction form
    112,306.50/169,629.75 = 169,629.75/x
  3. Step 3: Cross multiply
    112,306.50x = 169,629.75 × 169,629.75
  4. Step 4: Simplify right side
    112,306.50x = 28,774,252,085.06
  5. Step 5: Solve for x
    x = 28,774,252,085.06/112,306.50
  6. Step 6: Final answer
    x = 256,211.81

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