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Finding the Third Proportional to 118,252 and 183,596

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Solution

The third proportional to 118,252 and 183,596 is: 285,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,252 : 183,596 = 183,596 : x
  2. Step 2: Convert to fraction form
    118,252/183,596 = 183,596/x
  3. Step 3: Cross multiply
    118,252x = 183,596 × 183,596
  4. Step 4: Simplify right side
    118,252x = 33,707,491,216
  5. Step 5: Solve for x
    x = 33,707,491,216/118,252
  6. Step 6: Final answer
    x = 285,047.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.