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Finding the Third Proportional to 40,077 and 86,985

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Solution

The third proportional to 40,077 and 86,985 is: 188,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,077 : 86,985 = 86,985 : x
  2. Step 2: Convert to fraction form
    40,077/86,985 = 86,985/x
  3. Step 3: Cross multiply
    40,077x = 86,985 × 86,985
  4. Step 4: Simplify right side
    40,077x = 7,566,390,225
  5. Step 5: Solve for x
    x = 7,566,390,225/40,077
  6. Step 6: Final answer
    x = 188,796.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.