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Finding the Third Proportional to 53,120 and 125,216

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Solution

The third proportional to 53,120 and 125,216 is: 295,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,120 : 125,216 = 125,216 : x
  2. Step 2: Convert to fraction form
    53,120/125,216 = 125,216/x
  3. Step 3: Cross multiply
    53,120x = 125,216 × 125,216
  4. Step 4: Simplify right side
    53,120x = 15,679,046,656
  5. Step 5: Solve for x
    x = 15,679,046,656/53,120
  6. Step 6: Final answer
    x = 295,162.78

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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.