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Finding the Third Proportional to 117,760.08 and 168,199.66

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Solution

The third proportional to 117,760.08 and 168,199.66 is: 240,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,760.08 : 168,199.66 = 168,199.66 : x
  2. Step 2: Convert to fraction form
    117,760.08/168,199.66 = 168,199.66/x
  3. Step 3: Cross multiply
    117,760.08x = 168,199.66 × 168,199.66
  4. Step 4: Simplify right side
    117,760.08x = 28,291,126,990.74
  5. Step 5: Solve for x
    x = 28,291,126,990.74/117,760.08
  6. Step 6: Final answer
    x = 240,243.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.