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Finding the Third Proportional to 118,768 and 182,632

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Solution

The third proportional to 118,768 and 182,632 is: 280,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,768 : 182,632 = 182,632 : x
  2. Step 2: Convert to fraction form
    118,768/182,632 = 182,632/x
  3. Step 3: Cross multiply
    118,768x = 182,632 × 182,632
  4. Step 4: Simplify right side
    118,768x = 33,354,447,424
  5. Step 5: Solve for x
    x = 33,354,447,424/118,768
  6. Step 6: Final answer
    x = 280,836.99

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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.