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Finding the Third Proportional to 93,328 and 144,747

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Solution

The third proportional to 93,328 and 144,747 is: 224,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,328 : 144,747 = 144,747 : x
  2. Step 2: Convert to fraction form
    93,328/144,747 = 144,747/x
  3. Step 3: Cross multiply
    93,328x = 144,747 × 144,747
  4. Step 4: Simplify right side
    93,328x = 20,951,694,009
  5. Step 5: Solve for x
    x = 20,951,694,009/93,328
  6. Step 6: Final answer
    x = 224,495.26

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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.