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Finding the Third Proportional to 86,732 and 189,178

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Solution

The third proportional to 86,732 and 189,178 is: 412,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,732 : 189,178 = 189,178 : x
  2. Step 2: Convert to fraction form
    86,732/189,178 = 189,178/x
  3. Step 3: Cross multiply
    86,732x = 189,178 × 189,178
  4. Step 4: Simplify right side
    86,732x = 35,788,315,684
  5. Step 5: Solve for x
    x = 35,788,315,684/86,732
  6. Step 6: Final answer
    x = 412,631.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.