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Finding the Third Proportional to 112,255 and 177,718

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Solution

The third proportional to 112,255 and 177,718 is: 281,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,255 : 177,718 = 177,718 : x
  2. Step 2: Convert to fraction form
    112,255/177,718 = 177,718/x
  3. Step 3: Cross multiply
    112,255x = 177,718 × 177,718
  4. Step 4: Simplify right side
    112,255x = 31,583,687,524
  5. Step 5: Solve for x
    x = 31,583,687,524/112,255
  6. Step 6: Final answer
    x = 281,356.62

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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.