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Finding the Third Proportional to 57,832 and 86,262

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Solution

The third proportional to 57,832 and 86,262 is: 128,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832 : 86,262 = 86,262 : x
  2. Step 2: Convert to fraction form
    57,832/86,262 = 86,262/x
  3. Step 3: Cross multiply
    57,832x = 86,262 × 86,262
  4. Step 4: Simplify right side
    57,832x = 7,441,132,644
  5. Step 5: Solve for x
    x = 7,441,132,644/57,832
  6. Step 6: Final answer
    x = 128,668.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.