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Finding the Third Proportional to 93,247 and 144,651

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Solution

The third proportional to 93,247 and 144,651 is: 224,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,247 : 144,651 = 144,651 : x
  2. Step 2: Convert to fraction form
    93,247/144,651 = 144,651/x
  3. Step 3: Cross multiply
    93,247x = 144,651 × 144,651
  4. Step 4: Simplify right side
    93,247x = 20,923,911,801
  5. Step 5: Solve for x
    x = 20,923,911,801/93,247
  6. Step 6: Final answer
    x = 224,392.33

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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.