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Finding the Third Proportional to 112,660 and 174,383

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Solution

The third proportional to 112,660 and 174,383 is: 269,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,660 : 174,383 = 174,383 : x
  2. Step 2: Convert to fraction form
    112,660/174,383 = 174,383/x
  3. Step 3: Cross multiply
    112,660x = 174,383 × 174,383
  4. Step 4: Simplify right side
    112,660x = 30,409,430,689
  5. Step 5: Solve for x
    x = 30,409,430,689/112,660
  6. Step 6: Final answer
    x = 269,922.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.