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Finding the Third Proportional to 112,023 and 177,469

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Solution

The third proportional to 112,023 and 177,469 is: 281,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,023 : 177,469 = 177,469 : x
  2. Step 2: Convert to fraction form
    112,023/177,469 = 177,469/x
  3. Step 3: Cross multiply
    112,023x = 177,469 × 177,469
  4. Step 4: Simplify right side
    112,023x = 31,495,245,961
  5. Step 5: Solve for x
    x = 31,495,245,961/112,023
  6. Step 6: Final answer
    x = 281,149.82

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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.