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Finding the Third Proportional to 94,696 and 202,526

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Solution

The third proportional to 94,696 and 202,526 is: 433,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,696 : 202,526 = 202,526 : x
  2. Step 2: Convert to fraction form
    94,696/202,526 = 202,526/x
  3. Step 3: Cross multiply
    94,696x = 202,526 × 202,526
  4. Step 4: Simplify right side
    94,696x = 41,016,780,676
  5. Step 5: Solve for x
    x = 41,016,780,676/94,696
  6. Step 6: Final answer
    x = 433,141.64

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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.