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Finding the Third Proportional to 112,884 and 178,569

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Solution

The third proportional to 112,884 and 178,569 is: 282,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,884 : 178,569 = 178,569 : x
  2. Step 2: Convert to fraction form
    112,884/178,569 = 178,569/x
  3. Step 3: Cross multiply
    112,884x = 178,569 × 178,569
  4. Step 4: Simplify right side
    112,884x = 31,886,887,761
  5. Step 5: Solve for x
    x = 31,886,887,761/112,884
  6. Step 6: Final answer
    x = 282,474.82

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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.