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Finding the Third Proportional to 112,858 and 175,313

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Solution

The third proportional to 112,858 and 175,313 is: 272,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,858 : 175,313 = 175,313 : x
  2. Step 2: Convert to fraction form
    112,858/175,313 = 175,313/x
  3. Step 3: Cross multiply
    112,858x = 175,313 × 175,313
  4. Step 4: Simplify right side
    112,858x = 30,734,647,969
  5. Step 5: Solve for x
    x = 30,734,647,969/112,858
  6. Step 6: Final answer
    x = 272,330.26

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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.