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Finding the Third Proportional to 89,706 and 183,558

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Solution

The third proportional to 89,706 and 183,558 is: 375,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706 : 183,558 = 183,558 : x
  2. Step 2: Convert to fraction form
    89,706/183,558 = 183,558/x
  3. Step 3: Cross multiply
    89,706x = 183,558 × 183,558
  4. Step 4: Simplify right side
    89,706x = 33,693,539,364
  5. Step 5: Solve for x
    x = 33,693,539,364/89,706
  6. Step 6: Final answer
    x = 375,599.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.