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Finding the Third Proportional to 93,172.50 and 201,177

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Solution

The third proportional to 93,172.50 and 201,177 is: 434,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,172.50 : 201,177 = 201,177 : x
  2. Step 2: Convert to fraction form
    93,172.50/201,177 = 201,177/x
  3. Step 3: Cross multiply
    93,172.50x = 201,177 × 201,177
  4. Step 4: Simplify right side
    93,172.50x = 40,472,185,329
  5. Step 5: Solve for x
    x = 40,472,185,329/93,172.50
  6. Step 6: Final answer
    x = 434,379.09

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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.