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Finding the Third Proportional to 93,150 and 201,123

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Solution

The third proportional to 93,150 and 201,123 is: 434,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,150 : 201,123 = 201,123 : x
  2. Step 2: Convert to fraction form
    93,150/201,123 = 201,123/x
  3. Step 3: Cross multiply
    93,150x = 201,123 × 201,123
  4. Step 4: Simplify right side
    93,150x = 40,450,461,129
  5. Step 5: Solve for x
    x = 40,450,461,129/93,150
  6. Step 6: Final answer
    x = 434,250.79

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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.