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Finding the Third Proportional to 93,228 and 144,621

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Solution

The third proportional to 93,228 and 144,621 is: 224,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,228 : 144,621 = 144,621 : x
  2. Step 2: Convert to fraction form
    93,228/144,621 = 144,621/x
  3. Step 3: Cross multiply
    93,228x = 144,621 × 144,621
  4. Step 4: Simplify right side
    93,228x = 20,915,233,641
  5. Step 5: Solve for x
    x = 20,915,233,641/93,228
  6. Step 6: Final answer
    x = 224,344.98

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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.