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Finding the Third Proportional to 93,296.81 and 127,668.97

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Solution

The third proportional to 93,296.81 and 127,668.97 is: 174,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,296.81 : 127,668.97 = 127,668.97 : x
  2. Step 2: Convert to fraction form
    93,296.81/127,668.97 = 127,668.97/x
  3. Step 3: Cross multiply
    93,296.81x = 127,668.97 × 127,668.97
  4. Step 4: Simplify right side
    93,296.81x = 16,299,366,579.10
  5. Step 5: Solve for x
    x = 16,299,366,579.10/93,296.81
  6. Step 6: Final answer
    x = 174,704.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.