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Finding the Third Proportional to 94,600 and 202,051

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Solution

The third proportional to 94,600 and 202,051 is: 431,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,600 : 202,051 = 202,051 : x
  2. Step 2: Convert to fraction form
    94,600/202,051 = 202,051/x
  3. Step 3: Cross multiply
    94,600x = 202,051 × 202,051
  4. Step 4: Simplify right side
    94,600x = 40,824,606,601
  5. Step 5: Solve for x
    x = 40,824,606,601/94,600
  6. Step 6: Final answer
    x = 431,549.75

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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.