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Finding the Third Proportional to 112,556 and 265,695

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Solution

The third proportional to 112,556 and 265,695 is: 627,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,556 : 265,695 = 265,695 : x
  2. Step 2: Convert to fraction form
    112,556/265,695 = 265,695/x
  3. Step 3: Cross multiply
    112,556x = 265,695 × 265,695
  4. Step 4: Simplify right side
    112,556x = 70,593,833,025
  5. Step 5: Solve for x
    x = 70,593,833,025/112,556
  6. Step 6: Final answer
    x = 627,188.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.