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Finding the Third Proportional to 112,974.75 and 175,034.25

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Solution

The third proportional to 112,974.75 and 175,034.25 is: 271,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,974.75 : 175,034.25 = 175,034.25 : x
  2. Step 2: Convert to fraction form
    112,974.75/175,034.25 = 175,034.25/x
  3. Step 3: Cross multiply
    112,974.75x = 175,034.25 × 175,034.25
  4. Step 4: Simplify right side
    112,974.75x = 30,636,988,673.06
  5. Step 5: Solve for x
    x = 30,636,988,673.06/112,974.75
  6. Step 6: Final answer
    x = 271,184.39

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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.