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Finding the Third Proportional to 94,584 and 203,106

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Solution

The third proportional to 94,584 and 203,106 is: 436,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,584 : 203,106 = 203,106 : x
  2. Step 2: Convert to fraction form
    94,584/203,106 = 203,106/x
  3. Step 3: Cross multiply
    94,584x = 203,106 × 203,106
  4. Step 4: Simplify right side
    94,584x = 41,252,047,236
  5. Step 5: Solve for x
    x = 41,252,047,236/94,584
  6. Step 6: Final answer
    x = 436,141.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.