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Finding the Third Proportional to 109,930.92 and 174,212.02

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Solution

The third proportional to 109,930.92 and 174,212.02 is: 276,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,930.92 : 174,212.02 = 174,212.02 : x
  2. Step 2: Convert to fraction form
    109,930.92/174,212.02 = 174,212.02/x
  3. Step 3: Cross multiply
    109,930.92x = 174,212.02 × 174,212.02
  4. Step 4: Simplify right side
    109,930.92x = 30,349,826,388.13
  5. Step 5: Solve for x
    x = 30,349,826,388.13/109,930.92
  6. Step 6: Final answer
    x = 276,080.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.