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Finding the Third Proportional to 114,963 and 177,367

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Solution

The third proportional to 114,963 and 177,367 is: 273,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,963 : 177,367 = 177,367 : x
  2. Step 2: Convert to fraction form
    114,963/177,367 = 177,367/x
  3. Step 3: Cross multiply
    114,963x = 177,367 × 177,367
  4. Step 4: Simplify right side
    114,963x = 31,459,052,689
  5. Step 5: Solve for x
    x = 31,459,052,689/114,963
  6. Step 6: Final answer
    x = 273,645.02

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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.