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Finding the Third Proportional to 86,013 and 183,690

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Solution

The third proportional to 86,013 and 183,690 is: 392,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,013 : 183,690 = 183,690 : x
  2. Step 2: Convert to fraction form
    86,013/183,690 = 183,690/x
  3. Step 3: Cross multiply
    86,013x = 183,690 × 183,690
  4. Step 4: Simplify right side
    86,013x = 33,742,016,100
  5. Step 5: Solve for x
    x = 33,742,016,100/86,013
  6. Step 6: Final answer
    x = 392,289.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.