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Finding the Third Proportional to 118,282 and 178,651

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Solution

The third proportional to 118,282 and 178,651 is: 269,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,282 : 178,651 = 178,651 : x
  2. Step 2: Convert to fraction form
    118,282/178,651 = 178,651/x
  3. Step 3: Cross multiply
    118,282x = 178,651 × 178,651
  4. Step 4: Simplify right side
    118,282x = 31,916,179,801
  5. Step 5: Solve for x
    x = 31,916,179,801/118,282
  6. Step 6: Final answer
    x = 269,831.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.