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Finding the Third Proportional to 40,772 and 86,458

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Solution

The third proportional to 40,772 and 86,458 is: 183,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,772 : 86,458 = 86,458 : x
  2. Step 2: Convert to fraction form
    40,772/86,458 = 86,458/x
  3. Step 3: Cross multiply
    40,772x = 86,458 × 86,458
  4. Step 4: Simplify right side
    40,772x = 7,474,985,764
  5. Step 5: Solve for x
    x = 7,474,985,764/40,772
  6. Step 6: Final answer
    x = 183,336.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.