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Finding the Third Proportional to 93,828.38 and 145,503

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Solution

The third proportional to 93,828.38 and 145,503 is: 225,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,828.38 : 145,503 = 145,503 : x
  2. Step 2: Convert to fraction form
    93,828.38/145,503 = 145,503/x
  3. Step 3: Cross multiply
    93,828.38x = 145,503 × 145,503
  4. Step 4: Simplify right side
    93,828.38x = 21,171,123,009
  5. Step 5: Solve for x
    x = 21,171,123,009/93,828.38
  6. Step 6: Final answer
    x = 225,636.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.