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Finding the Third Proportional to 112,555 and 265,692

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Solution

The third proportional to 112,555 and 265,692 is: 627,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,555 : 265,692 = 265,692 : x
  2. Step 2: Convert to fraction form
    112,555/265,692 = 265,692/x
  3. Step 3: Cross multiply
    112,555x = 265,692 × 265,692
  4. Step 4: Simplify right side
    112,555x = 70,592,238,864
  5. Step 5: Solve for x
    x = 70,592,238,864/112,555
  6. Step 6: Final answer
    x = 627,179.95

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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.