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Finding the Third Proportional to 86,077 and 125,692

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Solution

The third proportional to 86,077 and 125,692 is: 183,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,077 : 125,692 = 125,692 : x
  2. Step 2: Convert to fraction form
    86,077/125,692 = 125,692/x
  3. Step 3: Cross multiply
    86,077x = 125,692 × 125,692
  4. Step 4: Simplify right side
    86,077x = 15,798,478,864
  5. Step 5: Solve for x
    x = 15,798,478,864/86,077
  6. Step 6: Final answer
    x = 183,538.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.