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Finding the Third Proportional to 93,772 and 140,668

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Solution

The third proportional to 93,772 and 140,668 is: 211,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,772 : 140,668 = 140,668 : x
  2. Step 2: Convert to fraction form
    93,772/140,668 = 140,668/x
  3. Step 3: Cross multiply
    93,772x = 140,668 × 140,668
  4. Step 4: Simplify right side
    93,772x = 19,787,486,224
  5. Step 5: Solve for x
    x = 19,787,486,224/93,772
  6. Step 6: Final answer
    x = 211,017.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.