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Finding the Third Proportional to 93,481.13 and 145,022.81

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Solution

The third proportional to 93,481.13 and 145,022.81 is: 224,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,481.13 : 145,022.81 = 145,022.81 : x
  2. Step 2: Convert to fraction form
    93,481.13/145,022.81 = 145,022.81/x
  3. Step 3: Cross multiply
    93,481.13x = 145,022.81 × 145,022.81
  4. Step 4: Simplify right side
    93,481.13x = 21,031,616,145.41
  5. Step 5: Solve for x
    x = 21,031,616,145.41/93,481.13
  6. Step 6: Final answer
    x = 224,982.49

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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.