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Finding the Third Proportional to 52,532 and 115,268

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Solution

The third proportional to 52,532 and 115,268 is: 252,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,532 : 115,268 = 115,268 : x
  2. Step 2: Convert to fraction form
    52,532/115,268 = 115,268/x
  3. Step 3: Cross multiply
    52,532x = 115,268 × 115,268
  4. Step 4: Simplify right side
    52,532x = 13,286,711,824
  5. Step 5: Solve for x
    x = 13,286,711,824/52,532
  6. Step 6: Final answer
    x = 252,926.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.