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Finding the Third Proportional to 112,571 and 178,253

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Solution

The third proportional to 112,571 and 178,253 is: 282,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,571 : 178,253 = 178,253 : x
  2. Step 2: Convert to fraction form
    112,571/178,253 = 178,253/x
  3. Step 3: Cross multiply
    112,571x = 178,253 × 178,253
  4. Step 4: Simplify right side
    112,571x = 31,774,132,009
  5. Step 5: Solve for x
    x = 31,774,132,009/112,571
  6. Step 6: Final answer
    x = 282,258.59

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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.