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Finding the Third Proportional to 118,206 and 181,683

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Solution

The third proportional to 118,206 and 181,683 is: 279,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,206 : 181,683 = 181,683 : x
  2. Step 2: Convert to fraction form
    118,206/181,683 = 181,683/x
  3. Step 3: Cross multiply
    118,206x = 181,683 × 181,683
  4. Step 4: Simplify right side
    118,206x = 33,008,712,489
  5. Step 5: Solve for x
    x = 33,008,712,489/118,206
  6. Step 6: Final answer
    x = 279,247.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.