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Finding the Third Proportional to 93,154 and 201,131

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Solution

The third proportional to 93,154 and 201,131 is: 434,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,154 : 201,131 = 201,131 : x
  2. Step 2: Convert to fraction form
    93,154/201,131 = 201,131/x
  3. Step 3: Cross multiply
    93,154x = 201,131 × 201,131
  4. Step 4: Simplify right side
    93,154x = 40,453,679,161
  5. Step 5: Solve for x
    x = 40,453,679,161/93,154
  6. Step 6: Final answer
    x = 434,266.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.