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Finding the Third Proportional to 94,739.50 and 202,606

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Solution

The third proportional to 94,739.50 and 202,606 is: 433,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,739.50 : 202,606 = 202,606 : x
  2. Step 2: Convert to fraction form
    94,739.50/202,606 = 202,606/x
  3. Step 3: Cross multiply
    94,739.50x = 202,606 × 202,606
  4. Step 4: Simplify right side
    94,739.50x = 41,049,191,236
  5. Step 5: Solve for x
    x = 41,049,191,236/94,739.50
  6. Step 6: Final answer
    x = 433,284.86

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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.