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Finding the Third Proportional to 112,020.75 and 177,465.38

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Solution

The third proportional to 112,020.75 and 177,465.38 is: 281,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,020.75 : 177,465.38 = 177,465.38 : x
  2. Step 2: Convert to fraction form
    112,020.75/177,465.38 = 177,465.38/x
  3. Step 3: Cross multiply
    112,020.75x = 177,465.38 × 177,465.38
  4. Step 4: Simplify right side
    112,020.75x = 31,493,959,323.89
  5. Step 5: Solve for x
    x = 31,493,959,323.89/112,020.75
  6. Step 6: Final answer
    x = 281,143.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.