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Finding the Third Proportional to 112,566 and 178,245

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Solution

The third proportional to 112,566 and 178,245 is: 282,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,566 : 178,245 = 178,245 : x
  2. Step 2: Convert to fraction form
    112,566/178,245 = 178,245/x
  3. Step 3: Cross multiply
    112,566x = 178,245 × 178,245
  4. Step 4: Simplify right side
    112,566x = 31,771,280,025
  5. Step 5: Solve for x
    x = 31,771,280,025/112,566
  6. Step 6: Final answer
    x = 282,245.79

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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.