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Finding the Third Proportional to 118,683 and 158,535

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Solution

The third proportional to 118,683 and 158,535 is: 211,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,683 : 158,535 = 158,535 : x
  2. Step 2: Convert to fraction form
    118,683/158,535 = 158,535/x
  3. Step 3: Cross multiply
    118,683x = 158,535 × 158,535
  4. Step 4: Simplify right side
    118,683x = 25,133,346,225
  5. Step 5: Solve for x
    x = 25,133,346,225/118,683
  6. Step 6: Final answer
    x = 211,768.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.