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Finding the Third Proportional to 93,532 and 206,741

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Solution

The third proportional to 93,532 and 206,741 is: 456,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,532 : 206,741 = 206,741 : x
  2. Step 2: Convert to fraction form
    93,532/206,741 = 206,741/x
  3. Step 3: Cross multiply
    93,532x = 206,741 × 206,741
  4. Step 4: Simplify right side
    93,532x = 42,741,841,081
  5. Step 5: Solve for x
    x = 42,741,841,081/93,532
  6. Step 6: Final answer
    x = 456,975.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.