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Finding the Third Proportional to 59,256 and 125,483

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Solution

The third proportional to 59,256 and 125,483 is: 265,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,256 : 125,483 = 125,483 : x
  2. Step 2: Convert to fraction form
    59,256/125,483 = 125,483/x
  3. Step 3: Cross multiply
    59,256x = 125,483 × 125,483
  4. Step 4: Simplify right side
    59,256x = 15,745,983,289
  5. Step 5: Solve for x
    x = 15,745,983,289/59,256
  6. Step 6: Final answer
    x = 265,728.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.