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Finding the Third Proportional to 93,690 and 144,427

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Solution

The third proportional to 93,690 and 144,427 is: 222,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,690 : 144,427 = 144,427 : x
  2. Step 2: Convert to fraction form
    93,690/144,427 = 144,427/x
  3. Step 3: Cross multiply
    93,690x = 144,427 × 144,427
  4. Step 4: Simplify right side
    93,690x = 20,859,158,329
  5. Step 5: Solve for x
    x = 20,859,158,329/93,690
  6. Step 6: Final answer
    x = 222,640.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.