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Finding the Third Proportional to 89,106 and 183,861

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Solution

The third proportional to 89,106 and 183,861 is: 379,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,106 : 183,861 = 183,861 : x
  2. Step 2: Convert to fraction form
    89,106/183,861 = 183,861/x
  3. Step 3: Cross multiply
    89,106x = 183,861 × 183,861
  4. Step 4: Simplify right side
    89,106x = 33,804,867,321
  5. Step 5: Solve for x
    x = 33,804,867,321/89,106
  6. Step 6: Final answer
    x = 379,378.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.